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Truncated vector lattices: A Maeda-Ogasawara type representation 截断向量网格：前田-小笠原类型表示法
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287815
Karim Boulabiar, Rawaa Hajji
{"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":null,"pages":null},"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}
引用次数: 0
Stone-Weierstrass approximation revisited 重温斯通-韦尔斯特拉斯近似法
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287846
Anatoly G. Kusraev, Semën S. Kutateladze
{"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":null,"pages":null},"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}
引用次数: 0
Towards a geometrical equivalence of norms 实现规范的几何等价性
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287845
Eder Kikianty
{"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":null,"pages":null},"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}
引用次数: 0
Derivations in disjointly complete commutative regular algebras 互不相连的完整交换正则代数中的派生
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287814
Aleksey Ber, Vladimir Chilin, Fedor Sukochev
{"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":null,"pages":null},"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}
引用次数: 0
The modulus of a vector measure 向量的模量
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287823
Ben de Pagter, Werner J. Ricker
{"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":null,"pages":null},"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}
引用次数: 0
Order boundedness and order continuity properties of positive operator semigroups 正算子半群的阶有界性和阶连续性性质
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287831
Jochen Glück, Michael Kaplin
{"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":null,"pages":null},"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}
引用次数: 0
On the diagonal of Riesz operators on Banach lattices 关于巴拿赫网格上里兹算子的对角线
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287829
R. Drnovšek, M. Kandić
{"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":null,"pages":null},"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}
引用次数: 0
Generating functions in Riesz spaces 里兹空间的生成函数
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287853
Youssef Azouzi, Youssef Nasri
{"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":null,"pages":null},"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}
引用次数: 0
Weak and strong type inequalities for Orlicz spaces 奥利兹空间的弱型和强型不等式
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287847
Louis Labuschagne
{"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":null,"pages":null},"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}
引用次数: 0
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces 里兹空间中的哈恩-乔丹分解和里兹-弗雷谢特表示定理
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287843
Anke Kalauch, Wenchi Kuo, Bruce A. Watson
{"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":null,"pages":null},"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}
引用次数: 0
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