Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287845
Eder Kikianty
Angular equivalence of norms, introduced by Kikianty and Sinnamon (2017), is a notion of norm equivalence that is more attuned to the geometry of the norms. For certain geometrical properties and t...
{"title":"Towards a geometrical equivalence of norms","authors":"Eder Kikianty","doi":"10.2989/16073606.2023.2287845","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287845","url":null,"abstract":"Angular equivalence of norms, introduced by Kikianty and Sinnamon (2017), is a notion of norm equivalence that is more attuned to the geometry of the norms. For certain geometrical properties and t...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"85 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140076489","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287815
Karim Boulabiar, Rawaa Hajji
Let L be a truncated Archimedean vector lattice whose truncation is denoted by *. In a recent paper, we proved that there exists a locally compact Hausdorff space X such that L is a lattice isomorph...
设 L 是一个截断的阿基米德向量网格，其截断数用 * 表示。在最近的一篇论文中，我们证明了存在一个局部紧凑的豪斯多尔空间X，使得L是一个同构的网格。
{"title":"Truncated vector lattices: A Maeda-Ogasawara type representation","authors":"Karim Boulabiar, Rawaa Hajji","doi":"10.2989/16073606.2023.2287815","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287815","url":null,"abstract":"Let L be a truncated Archimedean vector lattice whose truncation is denoted by *. In a recent paper, we proved that there exists a locally compact Hausdorff space X such that L is a lattice isomorph...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"107 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073404","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287814
Aleksey Ber, Vladimir Chilin, Fedor Sukochev
We show that any nonexpansive derivation on a subalgebra of a dis-jointly complete commutative regular algebra extends up to a derivation on . For an algebra of functions , continuous on a dense ...
{"title":"Derivations in disjointly complete commutative regular algebras","authors":"Aleksey Ber, Vladimir Chilin, Fedor Sukochev","doi":"10.2989/16073606.2023.2287814","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287814","url":null,"abstract":"We show that any nonexpansive derivation on a subalgebra of a dis-jointly complete commutative regular algebra extends up to a derivation on . For an algebra of functions , continuous on a dense ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"2016 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140107107","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287846
Anatoly G. Kusraev, Semën S. Kutateladze
The aim of the present article is to extend the Stone-Weierstrass theorem to functions ranging in a lattice normed space and admitting order rather than topological approximation. We proceed with t...
本文旨在将斯通-韦尔斯特拉斯定理扩展到网格规范空间中的函数，并允许有序而非拓扑逼近。我们从...
{"title":"Stone-Weierstrass approximation revisited","authors":"Anatoly G. Kusraev, Semën S. Kutateladze","doi":"10.2989/16073606.2023.2287846","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287846","url":null,"abstract":"The aim of the present article is to extend the Stone-Weierstrass theorem to functions ranging in a lattice normed space and admitting order rather than topological approximation. We proceed with t...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073530","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287831
Jochen Glück, Michael Kaplin
Relatively uniformly continuous (ruc) semigroups were recently introduced and studied by Kandic, Kramar-Fijavž, and the second-named author, in order to make the theory of one-parameter operator se...
{"title":"Order boundedness and order continuity properties of positive operator semigroups","authors":"Jochen Glück, Michael Kaplin","doi":"10.2989/16073606.2023.2287831","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287831","url":null,"abstract":"Relatively uniformly continuous (ruc) semigroups were recently introduced and studied by Kandic, Kramar-Fijavž, and the second-named author, in order to make the theory of one-parameter operator se...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"39 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073575","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287823
Ben de Pagter, Werner J. Ricker
It is known that if L is a Dedekind complete Riesz space and (Ω, Σ) is a measurable space, then the partially ordered linear space of all L-valued, finitely additive and order bounded vector measur...
众所周知，如果 L 是一个 Dedekind 完全 Riesz 空间，(Ω, Σ) 是一个可测空间，那么所有 L 值、有限相加和有序有界向量测量的部分有序线性空间...
{"title":"The modulus of a vector measure","authors":"Ben de Pagter, Werner J. Ricker","doi":"10.2989/16073606.2023.2287823","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287823","url":null,"abstract":"It is known that if L is a Dedekind complete Riesz space and (Ω, Σ) is a measurable space, then the partially ordered linear space of all L-valued, finitely additive and order bounded vector measur...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073592","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287829
R. Drnovšek, M. Kandić
This paper extends the well-known Ringrose theory for compact operators to polynomially Riesz operators on Banach spaces. The particular case of an ideal-triangularizable Riesz operator on an order...
{"title":"On the diagonal of Riesz operators on Banach lattices","authors":"R. Drnovšek, M. Kandić","doi":"10.2989/16073606.2023.2287829","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287829","url":null,"abstract":"This paper extends the well-known Ringrose theory for compact operators to polynomially Riesz operators on Banach spaces. The particular case of an ideal-triangularizable Riesz operator on an order...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"42 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073403","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287853
Youssef Azouzi, Youssef Nasri
We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectation operator. This allows us to study discrete ...
{"title":"Generating functions in Riesz spaces","authors":"Youssef Azouzi, Youssef Nasri","doi":"10.2989/16073606.2023.2287853","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287853","url":null,"abstract":"We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectation operator. This allows us to study discrete ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"32 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073563","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287847
Louis Labuschagne
We revisit the generalisation of Calderon’s Transfer Principle as espoused in [7]. This principle is used to generate weak type maximal inequalities for ergodic operators in the setting of σ-compac...
{"title":"Weak and strong type inequalities for Orlicz spaces","authors":"Louis Labuschagne","doi":"10.2989/16073606.2023.2287847","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287847","url":null,"abstract":"We revisit the generalisation of Calderon’s Transfer Principle as espoused in [7]. This principle is used to generate weak type maximal inequalities for ergodic operators in the setting of σ-compac...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073397","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 : 2024-03-07DOI: 10.2989/16073606.2023.2287834
Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi
The main result is a simple proof of the Baras-Goldstein (1984) instantaneous blow up result for the heat equation with the inverse square potential. The proof relies heavily, indeed mainly, on sca...
{"title":"Scaling and instantaneous blow up","authors":"Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi","doi":"10.2989/16073606.2023.2287834","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287834","url":null,"abstract":"The main result is a simple proof of the Baras-Goldstein (1984) instantaneous blow up result for the heat equation with the inverse square potential. The proof relies heavily, indeed mainly, on sca...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"66 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140076244","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：