Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287843
Anke Kalauch, Wenchi Kuo, Bruce A. Watson
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [B.A. Watson, An Andô-Douglas type theorem in Riesz spaces with a conditional expectation, Positivity, 13 (2009), 543–5...
我们给出了一个里兹空间中的哈恩-乔丹分解，它概括了[B.A. Watson, An Andô-Douglas type theorem in Riesz spaces with a conditional expectation, Positivity, 13 (2009), 543-5...
{"title":"A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces","authors":"Anke Kalauch, Wenchi Kuo, Bruce A. Watson","doi":"10.2989/16073606.2023.2287843","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287843","url":null,"abstract":"We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [B.A. Watson, An Andô-Douglas type theorem in Riesz spaces with a conditional expectation, Positivity, 13 (2009), 543–5...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073409","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: 10.2989/16073606.2023.2287839
Francisco L. Hernández, César Ruiz, Mauro Sanchiz
We give two weak compactness Andô type criteria in variable exponent Lebesgue spaces Lp(·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces L...
{"title":"Remarks on weak compactness criteria in variable exponent Lebesgue spaces","authors":"Francisco L. Hernández, César Ruiz, Mauro Sanchiz","doi":"10.2989/16073606.2023.2287839","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287839","url":null,"abstract":"We give two weak compactness Andô type criteria in variable exponent Lebesgue spaces Lp(·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces L...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"21 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073548","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: 10.2989/16073606.2023.2287836
Anthony W. Hager, Brian Wynne
Let W be the category of Archimedean lattice-ordered groups with distinguished weak unit and unit-preserving ℓ-group homomorphisms. We denote by P, wP, Loc, HA, respectively, the collections of pro...
设 W 是阿基米德网格有序群的范畴，具有区分的弱单位和单位保留的 ℓ 群同态。我们分别用 P、wP、Loc、HA 来表示原...
{"title":"Hereditarily projectable Archimedean lattice-ordered groups with unit","authors":"Anthony W. Hager, Brian Wynne","doi":"10.2989/16073606.2023.2287836","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287836","url":null,"abstract":"Let W be the category of Archimedean lattice-ordered groups with distinguished weak unit and unit-preserving ℓ-group homomorphisms. We denote by P, wP, Loc, HA, respectively, the collections of pro...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"50 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150401","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 : 2024-03-06DOI: 10.2989/16073606.2024.2320446
Jamel Jaber, Adnen Khalfaoui
We present a lattice-based characterization of extreme points whithin well-defined convex subsets of positive operators, operating between Banach lattices with quasi-interior points.
Pub Date : 2024-03-06DOI: 10.2989/16073606.2024.2320441
Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo
In this work we introduce the concept of bornology on the theory of Frölicher spaces. A canonical bornology, called the functional bornology, is induced from structure functions, and bounded maps u...
在这篇论文中，我们介绍了弗罗里希尔空间理论的出生论概念。结构函数和有界映射u...
{"title":"On the way to Frölicher bornology","authors":"Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo","doi":"10.2989/16073606.2024.2320441","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320441","url":null,"abstract":"In this work we introduce the concept of bornology on the theory of Frölicher spaces. A canonical bornology, called the functional bornology, is induced from structure functions, and bounded maps u...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071233","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 : 2024-03-06DOI: 10.2989/16073606.2024.2322684
Jacobus J. Grobler
We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...
{"title":"Fubini’s theorem for a vector-valued Daniell integral","authors":"Jacobus J. Grobler","doi":"10.2989/16073606.2024.2322684","DOIUrl":"https://doi.org/10.2989/16073606.2024.2322684","url":null,"abstract":"We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"67 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073557","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 : 2024-03-06DOI: 10.2989/16073606.2024.2321261
A.H. Kara, Sonia Naseer, Ali Raza, F.D. Zaman
The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. In many practical situations, the physical domain of the problem is...
反应扩散方程出现在人口增长、遗传学和物理科学等物理问题中。在许多实际情况中，问题的物理范畴是...
{"title":"Optimal system and conservation laws for the generalized Fisher equation in cylindrical coordinates","authors":"A.H. Kara, Sonia Naseer, Ali Raza, F.D. Zaman","doi":"10.2989/16073606.2024.2321261","DOIUrl":"https://doi.org/10.2989/16073606.2024.2321261","url":null,"abstract":"The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. In many practical situations, the physical domain of the problem is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"279 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073567","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 : 2024-03-06DOI: 10.2989/16073606.2024.2320434
Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat
In this paper, the planar polynomial of a graph is introduced and some of its properties are discussed. The planar polynomial of the graph G is real-rooted if and only if G is planar. This polynomi...
本文介绍了图的平面多项式，并讨论了它的一些性质。当且仅当 G 是平面时，图 G 的平面多项式才是实根的。该多项式...
{"title":"Planar polynomial of the graphs","authors":"Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat","doi":"10.2989/16073606.2024.2320434","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320434","url":null,"abstract":"In this paper, the planar polynomial of a graph is introduced and some of its properties are discussed. The planar polynomial of the graph G is real-rooted if and only if G is planar. This polynomi...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"13 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071237","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 : 2024-03-06DOI: 10.2989/16073606.2024.2323150
Fakhreddine Boukhari, Nguyen Chi Dzung, Lê Vǎn Thaǹh
This work provides the necessary and sufficient conditions for complete convergence for the maximal partial sums of dependent random variables. The results are proved without using maximal inequali...
这项工作为因变量最大局部和的完全收敛提供了必要和充分条件。这些结果的证明无需使用最大不等式。
{"title":"Complete convergence for the maximal partial sums without maximal inequalities","authors":"Fakhreddine Boukhari, Nguyen Chi Dzung, Lê Vǎn Thaǹh","doi":"10.2989/16073606.2024.2323150","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323150","url":null,"abstract":"This work provides the necessary and sufficient conditions for complete convergence for the maximal partial sums of dependent random variables. The results are proved without using maximal inequali...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"107 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073591","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 : 2024-03-06DOI: 10.2989/16073606.2024.2323708
Yuan Yang, Jianhua Zhang
Let be a factor von Neumann algebra with dim . In this paper, it is shown that if a map satisfies for all , then ϕ is an additive ∗-derivation, where .
{"title":"The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras","authors":"Yuan Yang, Jianhua Zhang","doi":"10.2989/16073606.2024.2323708","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323708","url":null,"abstract":"Let be a factor von Neumann algebra with dim . In this paper, it is shown that if a map satisfies for all , then ϕ is an additive ∗-derivation, where .","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"97 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073398","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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