Pub Date : 2023-02-02DOI: 10.4153/s0008439523000395
Ying-Fen Lin, Shiho Oi
In this article, we give a representation of bounded complex linear operators which preserve idempotent elements on the Fourier algebra of a locally compact group. When such an operator is moreover positive or contractive, we show that the operator is induced by either a continuous group homomorphism or a continuous group anti-homomorphism. If the groups are totally disconnected, bounded homomorphisms on the Fourier algebra can be realised by the idempotent preserving operators.
{"title":"LINEAR PRESERVERS ON IDEMPOTENTS OF FOURIER ALGEBRAS","authors":"Ying-Fen Lin, Shiho Oi","doi":"10.4153/s0008439523000395","DOIUrl":"https://doi.org/10.4153/s0008439523000395","url":null,"abstract":"In this article, we give a representation of bounded complex linear operators which preserve idempotent elements on the Fourier algebra of a locally compact group. When such an operator is moreover positive or contractive, we show that the operator is induced by either a continuous group homomorphism or a continuous group anti-homomorphism. If the groups are totally disconnected, bounded homomorphisms on the Fourier algebra can be realised by the idempotent preserving operators.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47254819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.4153/S0008439523000607
Chi Hoi Yip
The celebrated ErdH{o}s-Ko-Rado (EKR) theorem for Paley graphs (of square order) states that all maximum cliques are canonical in the sense that each maximum clique arises from the subfield construction. Recently, Asgarli and Yip extended this result to Peisert graphs and other Cayley graphs which are Peisert-type graphs with nice algebraic properties on the connection set. On the other hand, there are Peisert-type graphs for which the EKR theorem fails to hold. In this paper, we show that the EKR theorem of Paley graphs extends to almost all pseudo-Paley graphs of Peisert-type. Furthermore, we establish the stability results of the same flavor.
{"title":"Erdős–Ko–Rado theorem in Peisert-type graphs","authors":"Chi Hoi Yip","doi":"10.4153/S0008439523000607","DOIUrl":"https://doi.org/10.4153/S0008439523000607","url":null,"abstract":"The celebrated ErdH{o}s-Ko-Rado (EKR) theorem for Paley graphs (of square order) states that all maximum cliques are canonical in the sense that each maximum clique arises from the subfield construction. Recently, Asgarli and Yip extended this result to Peisert graphs and other Cayley graphs which are Peisert-type graphs with nice algebraic properties on the connection set. On the other hand, there are Peisert-type graphs for which the EKR theorem fails to hold. In this paper, we show that the EKR theorem of Paley graphs extends to almost all pseudo-Paley graphs of Peisert-type. Furthermore, we establish the stability results of the same flavor.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41959603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-31DOI: 10.4153/s0008439523000115
MOLLA BASIR AHAMED, VASUDEVARAO ALLU
Abstract Let $ mathcal {B} $ be the class of analytic functions $ f $ in the unit disk $ mathbb {D}={zin mathbb {C} : |z|<1} $ such that $ |f(z)|<1 $ for all $ zin mathbb {D} $ . If $ fin mathcal {B} $ of the form $ f(z)=sum _{n=0}^{infty }a_nz^n $ , then $ sum _{n=0}^{infty }|a_nz^n|leq 1 $ for $ |z|=rleq 1/3 $ and $ 1/3 $ cannot be improved. This inequality is called Bohr inequality and the quantity $ 1/3 $ is called Bohr radius. If $ fin mathcal {B} $ of the form $ f(z)=sum _{n=0}^{infty }a_nz^n $ , then $ |sum _{n=0}^{N}a_nz^n|<1;; mbox {for};; |z|<{1}/{2} $ and the radius $ 1/2 $ is the best possible for the class $ mathcal {B} $ . This inequality is called Bohr–Rogosinski inequality and the corresponding radius is called Bohr–Rogosinski radius. Let $ mathcal {H} $ be the class of all complex-valued harmonic functions $ f=h+bar {g} $ defined on the unit disk $ mathbb {D} $ , where $ h $ and $ g $ are analytic in $ mathbb {D} $ with the normalization $ h(0)=h^{prime }(0)-1=0 $ and $ g(0)=0 $ . Let $ mathcal {H}_0={f=h+bar {g}in mathcal {H} : g^{prime }(0)=0}. $ For $ alpha geq 0 $ and $ 0leq beta <1 $ , let $$ begin{align*} mathcal{W}^{0}_{mathcal{H}}(alpha, beta)={f=h+overline{g}inmathcal{H}_{0} : mathrm{Re}left(h^{prime}(z)+alpha zh^{primeprime}(z)-betaright)>|g^{prime}(z)+alpha zg^{primeprime}(z)|,;; zinmathbb{D}} end{align*} $$ be a class of close-to-convex harmonic mappings in $ mathbb {D} $ . In this paper, we prove the sharp Bohr–Rogosinski radius for the class $ mathcal {W}^{0}_{mathcal {H}}(alpha , beta ) $ .
{"title":"Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings","authors":"MOLLA BASIR AHAMED, VASUDEVARAO ALLU","doi":"10.4153/s0008439523000115","DOIUrl":"https://doi.org/10.4153/s0008439523000115","url":null,"abstract":"Abstract Let \u0000$ mathcal {B} $\u0000 be the class of analytic functions \u0000$ f $\u0000 in the unit disk \u0000$ mathbb {D}={zin mathbb {C} : |z|<1} $\u0000 such that \u0000$ |f(z)|<1 $\u0000 for all \u0000$ zin mathbb {D} $\u0000 . If \u0000$ fin mathcal {B} $\u0000 of the form \u0000$ f(z)=sum _{n=0}^{infty }a_nz^n $\u0000 , then \u0000$ sum _{n=0}^{infty }|a_nz^n|leq 1 $\u0000 for \u0000$ |z|=rleq 1/3 $\u0000 and \u0000$ 1/3 $\u0000 cannot be improved. This inequality is called Bohr inequality and the quantity \u0000$ 1/3 $\u0000 is called Bohr radius. If \u0000$ fin mathcal {B} $\u0000 of the form \u0000$ f(z)=sum _{n=0}^{infty }a_nz^n $\u0000 , then \u0000$ |sum _{n=0}^{N}a_nz^n|<1;; mbox {for};; |z|<{1}/{2} $\u0000 and the radius \u0000$ 1/2 $\u0000 is the best possible for the class \u0000$ mathcal {B} $\u0000 . This inequality is called Bohr–Rogosinski inequality and the corresponding radius is called Bohr–Rogosinski radius. Let \u0000$ mathcal {H} $\u0000 be the class of all complex-valued harmonic functions \u0000$ f=h+bar {g} $\u0000 defined on the unit disk \u0000$ mathbb {D} $\u0000 , where \u0000$ h $\u0000 and \u0000$ g $\u0000 are analytic in \u0000$ mathbb {D} $\u0000 with the normalization \u0000$ h(0)=h^{prime }(0)-1=0 $\u0000 and \u0000$ g(0)=0 $\u0000 . Let \u0000$ mathcal {H}_0={f=h+bar {g}in mathcal {H} : g^{prime }(0)=0}. $\u0000 For \u0000$ alpha geq 0 $\u0000 and \u0000$ 0leq beta <1 $\u0000 , let \u0000$$ begin{align*} mathcal{W}^{0}_{mathcal{H}}(alpha, beta)={f=h+overline{g}inmathcal{H}_{0} : mathrm{Re}left(h^{prime}(z)+alpha zh^{primeprime}(z)-betaright)>|g^{prime}(z)+alpha zg^{primeprime}(z)|,;; zinmathbb{D}} end{align*} $$\u0000 be a class of close-to-convex harmonic mappings in \u0000$ mathbb {D} $\u0000 . In this paper, we prove the sharp Bohr–Rogosinski radius for the class \u0000$ mathcal {W}^{0}_{mathcal {H}}(alpha , beta ) $\u0000 .","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135306205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-16DOI: 10.4153/S0008439523000061
Ali Ebrahimzadeh Esfahani, M. Nemati, Mohammad Reza Ghanei
Abstract Let ${mathcal A}$ be a Banach algebra, and let $varphi $ be a nonzero character on ${mathcal A}$ . For a closed ideal I of ${mathcal A}$ with $Inot subseteq ker varphi $ such that I has a bounded approximate identity, we show that $operatorname {WAP}(mathcal {A})$ , the space of weakly almost periodic functionals on ${mathcal A}$ , admits a right (left) invariant $varphi $ -mean if and only if $operatorname {WAP}(I)$ admits a right (left) invariant $varphi |_I$ -mean. This generalizes a result due to Neufang for the group algebra $L^1(G)$ as an ideal in the measure algebra $M(G)$ , for a locally compact group G. Then we apply this result to the quantum group algebra $L^1({mathbb G})$ of a locally compact quantum group ${mathbb G}$ . Finally, we study the existence of left and right invariant $1$ -means on $ operatorname {WAP}(mathcal {T}_{triangleright }({mathbb G}))$ .
{"title":"Invariant means on weakly almost periodic functionals with application to quantum groups","authors":"Ali Ebrahimzadeh Esfahani, M. Nemati, Mohammad Reza Ghanei","doi":"10.4153/S0008439523000061","DOIUrl":"https://doi.org/10.4153/S0008439523000061","url":null,"abstract":"Abstract Let \u0000${mathcal A}$\u0000 be a Banach algebra, and let \u0000$varphi $\u0000 be a nonzero character on \u0000${mathcal A}$\u0000 . For a closed ideal I of \u0000${mathcal A}$\u0000 with \u0000$Inot subseteq ker varphi $\u0000 such that I has a bounded approximate identity, we show that \u0000$operatorname {WAP}(mathcal {A})$\u0000 , the space of weakly almost periodic functionals on \u0000${mathcal A}$\u0000 , admits a right (left) invariant \u0000$varphi $\u0000 -mean if and only if \u0000$operatorname {WAP}(I)$\u0000 admits a right (left) invariant \u0000$varphi |_I$\u0000 -mean. This generalizes a result due to Neufang for the group algebra \u0000$L^1(G)$\u0000 as an ideal in the measure algebra \u0000$M(G)$\u0000 , for a locally compact group G. Then we apply this result to the quantum group algebra \u0000$L^1({mathbb G})$\u0000 of a locally compact quantum group \u0000${mathbb G}$\u0000 . Finally, we study the existence of left and right invariant \u0000$1$\u0000 -means on \u0000$ operatorname {WAP}(mathcal {T}_{triangleright }({mathbb G}))$\u0000 .","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"66 1","pages":"927 - 936"},"PeriodicalIF":0.6,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44999520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-13DOI: 10.4153/S0008439523000085
Dimitrios Vavitsas
Abstract We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of $mathbb C^n$ , and we give a sufficient capacity condition in order to identify noncyclic vectors.
{"title":"A note on cyclic vectors in Dirichlet-type spaces in the unit ball of \u0000${mathbb C}^n$","authors":"Dimitrios Vavitsas","doi":"10.4153/S0008439523000085","DOIUrl":"https://doi.org/10.4153/S0008439523000085","url":null,"abstract":"Abstract We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of \u0000$mathbb C^n$\u0000 , and we give a sufficient capacity condition in order to identify noncyclic vectors.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"66 1","pages":"886 - 902"},"PeriodicalIF":0.6,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46821753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-12DOI: 10.4153/S0008439523000036
Musa Mammadov, Piotr Szuca
Abstract In this paper, the turnpike property is established for a nonconvex optimal control problem in discrete time. The functional is defined by the notion of the ideal convergence and can be considered as an analogue of the terminal functional defined over infinite-time horizon. The turnpike property states that every optimal solution converges to some unique optimal stationary point in the sense of ideal convergence if the ideal is invariant under translations. This kind of convergence generalizes, for example, statistical convergence and convergence with respect to logarithmic density zero sets.
{"title":"Invariant ideals and their applications to the turnpike theory","authors":"Musa Mammadov, Piotr Szuca","doi":"10.4153/S0008439523000036","DOIUrl":"https://doi.org/10.4153/S0008439523000036","url":null,"abstract":"Abstract In this paper, the turnpike property is established for a nonconvex optimal control problem in discrete time. The functional is defined by the notion of the ideal convergence and can be considered as an analogue of the terminal functional defined over infinite-time horizon. The turnpike property states that every optimal solution converges to some unique optimal stationary point in the sense of ideal convergence if the ideal is invariant under translations. This kind of convergence generalizes, for example, statistical convergence and convergence with respect to logarithmic density zero sets.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"66 1","pages":"959 - 975"},"PeriodicalIF":0.6,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46038387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-12DOI: 10.4153/S0008439523000048
I. Pritsker
Abstract Granville recently asked how the Mahler measure behaves in the context of polynomial dynamics. For a polynomial $f(z)=z^d+cdots in {mathbb C}[z], deg (f)ge 2,$ we show that the Mahler measure of the iterates $f^n$ grows geometrically fast with the degree $d^n,$ and find the exact base of that exponential growth. This base is expressed via an integral of $log ^+|z|$ with respect to the invariant measure of the Julia set for the polynomial $f.$ Moreover, we give sharp estimates for such an integral when the Julia set is connected.
Granville最近研究了马勒测度在多项式动力学下的表现。对于多项式$f(z)=z^d+cdots in {mathbb C}[z], deg (f)ge 2,$，我们证明了迭代的马勒测度$f^n$随程度$d^n,$呈几何快速增长，并找到了该指数增长的确切基数。这个基是通过对多项式$f.$的Julia集合的不变测度$log ^+|z|$的积分来表示的。此外，当Julia集合是连通的时，我们给出了这样一个积分的尖锐估计。
{"title":"Mahler measure of polynomial iterates","authors":"I. Pritsker","doi":"10.4153/S0008439523000048","DOIUrl":"https://doi.org/10.4153/S0008439523000048","url":null,"abstract":"Abstract Granville recently asked how the Mahler measure behaves in the context of polynomial dynamics. For a polynomial \u0000$f(z)=z^d+cdots in {mathbb C}[z], deg (f)ge 2,$\u0000 we show that the Mahler measure of the iterates \u0000$f^n$\u0000 grows geometrically fast with the degree \u0000$d^n,$\u0000 and find the exact base of that exponential growth. This base is expressed via an integral of \u0000$log ^+|z|$\u0000 with respect to the invariant measure of the Julia set for the polynomial \u0000$f.$\u0000 Moreover, we give sharp estimates for such an integral when the Julia set is connected.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"66 1","pages":"881 - 885"},"PeriodicalIF":0.6,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41334980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-28DOI: 10.4153/s0008439523000334
Andrew Schopieray
We classify braided generalized near-group fusion categories whose global dimension is not an integer; there are exactly two up to Grothendieck equivalence and taking products with braided pointed fusion categories.
{"title":"Irrational braided generalized near-groups","authors":"Andrew Schopieray","doi":"10.4153/s0008439523000334","DOIUrl":"https://doi.org/10.4153/s0008439523000334","url":null,"abstract":"We classify braided generalized near-group fusion categories whose global dimension is not an integer; there are exactly two up to Grothendieck equivalence and taking products with braided pointed fusion categories.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48547669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-23DOI: 10.4153/S000843952200073X
Chanaka Kottegoda, Trieu Le, Tomas Miguel Rodriguez
Abstract Given a weighted shift T of multiplicity two, we study the set $sqrt {T}$ of all square roots of T. We determine necessary and sufficient conditions on the weight sequence so that this set is non-empty. We show that when such conditions are satisfied, $sqrt {T}$ contains a certain special class of operators. We also obtain a complete description of all operators in $sqrt {T}$ .
{"title":"Square roots of weighted shifts of multiplicity two","authors":"Chanaka Kottegoda, Trieu Le, Tomas Miguel Rodriguez","doi":"10.4153/S000843952200073X","DOIUrl":"https://doi.org/10.4153/S000843952200073X","url":null,"abstract":"Abstract Given a weighted shift T of multiplicity two, we study the set \u0000$sqrt {T}$\u0000 of all square roots of T. We determine necessary and sufficient conditions on the weight sequence so that this set is non-empty. We show that when such conditions are satisfied, \u0000$sqrt {T}$\u0000 contains a certain special class of operators. We also obtain a complete description of all operators in \u0000$sqrt {T}$\u0000 .","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"66 1","pages":"791 - 807"},"PeriodicalIF":0.6,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49497365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Amino acids are essential components of all living cells serving as building blocks of proteins, as energy source, and as precursors of metabolites and signaling molecules. Amino acid transporters are membrane proteins that mediate the transfer of amino acids across the plasma membrane, and between compartments in cells, different cells and organs. The absence, overexpression or malfunction of specific amino acid transporters have been associated with human disease. One of the projects within the Swiss National Centre of Competence in Research (NCCR) TransCure was directed at SLC7 family amino acid transporters, with a particular focus on the heteromeric amino acid transporters 4F2hc-LAT1 (SLC3A2-SLC7A5) and 4F2hc-LAT2 (SLC3A2-SLC7A8), and the bacterial homologue AdiC. The project addressed questions of basic research (function and structure), pharmacology (identification of potent inhibitors and activators), and pre-clinical medicine (e.g., physiological role in the placenta) and disease models (e.g., tumor progression) of specific SLC7 family amino acid transporters. This review presents, summarizes and discusses selected main results obtained in this NCCR TransCure project.
{"title":"Structure, Function and Pharmacology of SLC7 Family Members and Homologues.","authors":"Jean-Marc Jeckelmann, Jonas Zaugg, Veronika Morozova, Jennifer Müller, Satish Kantipudi, Mariana Schroeder, Julien Graff, Christiane Albrecht, Karl-Heinz Altmann, Jürg Gertsch, Dimitrios Fotiadis","doi":"10.2533/chimia.2022.1011","DOIUrl":"10.2533/chimia.2022.1011","url":null,"abstract":"<p><p>Amino acids are essential components of all living cells serving as building blocks of proteins, as energy source, and as precursors of metabolites and signaling molecules. Amino acid transporters are membrane proteins that mediate the transfer of amino acids across the plasma membrane, and between compartments in cells, different cells and organs. The absence, overexpression or malfunction of specific amino acid transporters have been associated with human disease. One of the projects within the Swiss National Centre of Competence in Research (NCCR) TransCure was directed at SLC7 family amino acid transporters, with a particular focus on the heteromeric amino acid transporters 4F2hc-LAT1 (SLC3A2-SLC7A5) and 4F2hc-LAT2 (SLC3A2-SLC7A8), and the bacterial homologue AdiC. The project addressed questions of basic research (function and structure), pharmacology (identification of potent inhibitors and activators), and pre-clinical medicine (e.g., physiological role in the placenta) and disease models (e.g., tumor progression) of specific SLC7 family amino acid transporters. This review presents, summarizes and discusses selected main results obtained in this NCCR TransCure project.</p>","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":"11 1","pages":"1011-1018"},"PeriodicalIF":1.2,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78659424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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