发布求助
文献互助 智能选刊 最新文献

Positivity最新文献

筛选
英文 中文
Some new results about order Fredholm theory in Banach lattices 关于巴拿赫网格中阶弗雷德霍姆理论的一些新结果
IF 1 3区 数学
Positivity Pub Date : 2024-03-16 DOI: 10.1007/s11117-024-01038-3
Youssef Ezzaki, Othman Aboutafail, Jawad H’michane
{"title":"Some new results about order Fredholm theory in Banach lattices","authors":"Youssef Ezzaki, Othman Aboutafail, Jawad H’michane","doi":"10.1007/s11117-024-01038-3","DOIUrl":"https://doi.org/10.1007/s11117-024-01038-3","url":null,"abstract":"<p>This paper aims to introduce and study a new generalized class of semi-Fredholm operators acting between Banach lattices called order semi-Fredholm operators. It highlights some interesting properties of this class. Also, a perturbation properties are obtained. Finally, we discuss the conditions that make the adjoint of an order semi-Fredholm operator be a semi-Fredholm operator.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"22 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140152151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 spectra of some completely positive maps 关于一些完全正映射的光谱
IF 1 3区 数学
Positivity Pub Date : 2024-03-15 DOI: 10.1007/s11117-024-01037-4
Yuan Li, Shuhui Gao, Cong Zhao, Nan Ma
{"title":"On spectra of some completely positive maps","authors":"Yuan Li, Shuhui Gao, Cong Zhao, Nan Ma","doi":"10.1007/s11117-024-01037-4","DOIUrl":"https://doi.org/10.1007/s11117-024-01037-4","url":null,"abstract":"<p>Let <span>(sum _{i=1}^{infty }A_iA_i^*)</span> and <span>(sum _{i=1}^{infty }A_i^*A_i)</span> converge in the strong operator topology. We study the map <span>(Phi _{{mathcal {A}}})</span> defined on the Banach space of all bounded linear operators <span>({mathcal {B(H)}})</span> by <span>(Phi _{{mathcal {A}}}(X)=sum _{i=1}^{infty }A_iXA_i^*)</span> and its restriction <span>(Phi _{{mathcal {A}}}|_{mathcal {K(H})})</span> to the Banach space of all compact operators <span>(mathcal {K(H)}.)</span> We first consider the relationship between the boundary eigenvalues of <span>(Phi _{{mathcal {A}}}|_{mathcal {K(H})})</span> and its fixed points. Also, we show that the spectra of <span>(Phi _{{mathcal {A}}})</span> and <span>(Phi _{{mathcal {A}}}|_{mathcal {K(H})})</span> are the same sets. In particular, the spectra of two completely positive maps involving the unilateral shift are described.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"99 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140152157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Partial trace inequalities for partial transpose of positive semidefinite block matrices 正半有限块矩阵部分转置的部分迹不等式
IF 1 3区 数学
Positivity Pub Date : 2024-03-14 DOI: 10.1007/s11117-024-01039-2
Junjian Yang, Huan Xu
{"title":"Partial trace inequalities for partial transpose of positive semidefinite block matrices","authors":"Junjian Yang, Huan Xu","doi":"10.1007/s11117-024-01039-2","DOIUrl":"https://doi.org/10.1007/s11117-024-01039-2","url":null,"abstract":"<p>Li (Algebra 71:2823–2838, 2023) recently obtained several improvements on some partial trace inequalities for positive semidefinite block matrices. In this note, we present analogous partial trace inequalities involving partial transpose of positive semidefinite block matrix. The inequalities we show could be regarded as complements of Li’s results. In addition, some new partial trace inequalities for partial transpose of positive semidefinite block matrix are included.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"23 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140125806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 almost limited p-convergent operators on Banach lattices 论巴拿赫网格上几乎有限的 p-convergent 算子
IF 1 3区 数学
Positivity Pub Date : 2024-03-14 DOI: 10.1007/s11117-024-01040-9
H. Ardakani, F. Vali
{"title":"On almost limited p-convergent operators on Banach lattices","authors":"H. Ardakani, F. Vali","doi":"10.1007/s11117-024-01040-9","DOIUrl":"https://doi.org/10.1007/s11117-024-01040-9","url":null,"abstract":"<p>The purpose of this article is to introduce and study the class of almost limited <i>p</i>-convergent and weak<span>(^*)</span> almost <i>p</i>-convergent operators (<span>(1 le p &lt;infty )</span>). Some new characterizations of Banach lattices with the strong limited <i>p</i>-Schur property; that is, spaces on which every almost limited weakly <i>p</i>-compact set is relatively compact and the weak DP<span>(^*)</span> property of order <i>p</i> are obtained. The behavior of the class of these operators with the weak DP<span>(^*)</span> property of order <i>p</i> (with focus on Banach lattices with the strong limited <i>p</i>-Schur property) is investigated. Moreover, Banach lattices with the positive limited <i>p</i>-Schur property are introduced and Banach lattices in which this property is equivalent to some other known properties are discussed. In addition, the domination properties of almost limited <i>p</i>-convergent and weak<span>(^*)</span> almost <i>p</i>-convergent operators are considered. As an application, using almost limited <i>p</i>-convergent operators we establish some necessary and sufficient conditions under which some operator spaces have the strong limited <i>p</i>-Schur property.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"3 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140125839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces with its applications Asplund 空间中复合不确定多目标优化的稳健最优性和对偶性及其应用
IF 1 3区 数学
Positivity Pub Date : 2024-03-08 DOI: 10.1007/s11117-024-01032-9
Maryam Saadati, Morteza Oveisiha
{"title":"Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces with its applications","authors":"Maryam Saadati, Morteza Oveisiha","doi":"10.1007/s11117-024-01032-9","DOIUrl":"https://doi.org/10.1007/s11117-024-01032-9","url":null,"abstract":"<p>This article is devoted to investigate a nonsmooth/nonconvex uncertain multiobjective optimization problem with composition fields (<span>((text {CUP}))</span> for brevity) over arbitrary Asplund spaces. Employing some advanced techniques of variational analysis and generalized differentiation, we establish necessary optimality conditions for weakly robust efficient solutions of <span>((text {CUP}))</span> in terms of the limiting subdifferential. Sufficient conditions for the existence of (weakly) robust efficient solutions to such a problem are also driven under the new concept of pseudo-quasi convexity for composite functions. We formulate a Mond–Weir-type robust dual problem to the primal problem <span>((text {CUP}))</span>, and explore weak, strong, and converse duality properties. In addition, the obtained results are applied to an approximate uncertain multiobjective problem and a composite uncertain multiobjective problem with linear operators.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140070215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 norm bounded sets of the ideal $$E^{a}$$ 关于理想$$E^{a}$$的规范有界集
IF 1 3区 数学
Positivity Pub Date : 2024-03-04 DOI: 10.1007/s11117-024-01036-5
{"title":"On the norm bounded sets of the ideal $$E^{a}$$","authors":"","doi":"10.1007/s11117-024-01036-5","DOIUrl":"https://doi.org/10.1007/s11117-024-01036-5","url":null,"abstract":"<h3>Abstract</h3> <p>The paper is devoted to study the norm bounded subsets which are contained in <span> <span>(E^{a})</span> </span>. Also, we introduce and study the class of the bounded-<span> <span>(E^a)</span> </span> operators, which maps the closed unit ball of a Banach space to a subset of <span> <span>(E^{a})</span> </span>. Some interesting results about this class of operators are presented.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"18 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140035645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some results on upper semi-Fredholm operators on Banach lattices 关于巴拿赫网格上半弗雷德霍尔姆算子的一些结果
IF 1 3区 数学
Positivity Pub Date : 2024-02-29 DOI: 10.1007/s11117-024-01030-x
Youssef Ezzaki, Redouane Nouira, Othman Aboutafail
{"title":"Some results on upper semi-Fredholm operators on Banach lattices","authors":"Youssef Ezzaki, Redouane Nouira, Othman Aboutafail","doi":"10.1007/s11117-024-01030-x","DOIUrl":"https://doi.org/10.1007/s11117-024-01030-x","url":null,"abstract":"<p>We study the class of upper semi-Fredholm operators acting between Banach lattices. It focuses on the domination of such operators by compact, Dunford–Pettis and AM-compact operators.\u0000</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"53 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Well-posedness and stability of a class of linear systems 一类线性系统的良好性和稳定性
IF 1 3区 数学
Positivity Pub Date : 2024-02-28 DOI: 10.1007/s11117-024-01035-6
Yassine El Gantouh
{"title":"Well-posedness and stability of a class of linear systems","authors":"Yassine El Gantouh","doi":"10.1007/s11117-024-01035-6","DOIUrl":"https://doi.org/10.1007/s11117-024-01035-6","url":null,"abstract":"<p>The aim of this work is to provide useful criteria for well-posedness, positivity and stability of a class of infinite-dimensional linear systems. These criteria are based on an inverse estimate with respect to the Hille–Yosida Theorem. Indeed, we establish a generation result for perturbed positive operator semigroups, namely, for positive unbounded boundary perturbations. This unifies previous results available in the literature and that were established separately so far. We also prove that uniform exponential stability persists under unbounded boundary perturbations. Finally, applications to a Boltzmann equation with non-local boundary conditions on a finite network and a size-dependent population system with delayed birth process are also presented.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"145 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140010301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices 弗赖登塔尔谱定理和阿基米德向量网格中的足够多投影
IF 1 3区 数学
Positivity Pub Date : 2024-02-25 DOI: 10.1007/s11117-024-01033-8
Anthony W. Hager, Brian Wynne
{"title":"The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices","authors":"Anthony W. Hager, Brian Wynne","doi":"10.1007/s11117-024-01033-8","DOIUrl":"https://doi.org/10.1007/s11117-024-01033-8","url":null,"abstract":"<p>The Yosida representation for an Archimedean vector lattice <i>A</i> with weak unit <i>u</i>, denoted (<i>A</i>, <i>u</i>), reveals similarities between the ideas of the title, FST and SMP. If <i>A</i> is Archimedean, the conclusion of the FST means exactly that for each <span>(0 &lt; e in A)</span>, the Yosida space for <span>((e^{dd},e))</span>, denoted <span>(Y_e)</span>, has a base of clopen sets. This yields a short “Yosida based\" proof of FST. On the other hand, SMP implies that each <span>(Y_e)</span> has a <span>(pi )</span>-base of clopen sets. The converse fails, but holds if <i>A</i> has a strong unit (and in a somewhat more general situation).</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"19 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139977708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonlinear operator extensions of Korovkin’s theorems 科洛夫金定理的非线性算子扩展
IF 1 3区 数学
Positivity Pub Date : 2024-02-23 DOI: 10.1007/s11117-024-01034-7
Sorin G. Gal, Constantin P. Niculescu
{"title":"Nonlinear operator extensions of Korovkin’s theorems","authors":"Sorin G. Gal, Constantin P. Niculescu","doi":"10.1007/s11117-024-01034-7","DOIUrl":"https://doi.org/10.1007/s11117-024-01034-7","url":null,"abstract":"<p>In this paper we extend Korovkin’s theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included.\u0000</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139947380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信