{"title":"2-local S mappings with respect to τ on some *-subalgebras of","authors":"Bing Yang, Chengjun Hou, Xiaochun Fang","doi":"10.1080/03081087.2024.2353785","DOIUrl":"https://doi.org/10.1080/03081087.2024.2353785","url":null,"abstract":"We prove that if Δ is a norm-continuous weak∗-2-local derivation on a von Neumann algebra M and satisfies Δ(p+iμq)=Δ(p)+iμΔ(q) for every pair of projections p and q in M, and every μ∈R, then Δ is a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"23 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141430485","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}
{"title":"Quantum hitting time according to a given distribution","authors":"Paola Boito, G. M. Del Corso","doi":"10.1080/03081087.2024.2349197","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349197","url":null,"abstract":"In this work we focus on the notion of quantum hitting time for discrete-time Szegedy quantum walks, compared to its classical counterpart. Under suitable hypotheses, quantum hitting time is known ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"74 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141425403","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}
{"title":"Maximal border subrank tensors","authors":"Chia-Yu Chang","doi":"10.1080/03081087.2024.2352456","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352456","url":null,"abstract":"We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141315628","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}
{"title":"On affine spaces of alternating matrices with constant rank","authors":"Clément de Seguins Pazzis","doi":"10.1080/03081087.2024.2356827","DOIUrl":"https://doi.org/10.1080/03081087.2024.2356827","url":null,"abstract":"Let F be a field, and n≥r>0 be integers, with r even. Denote by An(F) the space of all n-by-n alternating matrices with entries in F. We consider the problem of determining the greatest possible d...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"136 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091882","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}
Cong Trinh Le, The Khoi Vu, Minh Toan Ho, Trung Hoa Dinh
{"title":"Optimization of some types of Rényi divergences between unitary orbits","authors":"Cong Trinh Le, The Khoi Vu, Minh Toan Ho, Trung Hoa Dinh","doi":"10.1080/03081087.2024.2352465","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352465","url":null,"abstract":"In this article, we investigate explicitly the minimal and maximal values of the α-z-Rényi divergences and some other types of Rényi divergences between unitary orbits. Our main tools are the major...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"91 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091881","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}
{"title":"Grothendieck-type characterization of representable multilinear mappings","authors":"Raffaella Cilia, Joaquín M. Gutiérrez","doi":"10.1080/03081087.2024.2352776","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352776","url":null,"abstract":"Let μ be a finite measure, T:L1(μ)→X be an operator into a Banach space X, and I:L∞(μ)→L1(μ) be the natural inclusion. A well-known theorem due to Grothendieck states that T is representable if and...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"34 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141092015","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}
{"title":"On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras","authors":"Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González, Alicia Tocino","doi":"10.1080/03081087.2024.2352452","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352452","url":null,"abstract":"This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"53 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141092010","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}
{"title":"The parallel sum in C*-algebras","authors":"Ali Zamani, Hasan Karimi, Qingxiang Xu","doi":"10.1080/03081087.2024.2349199","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349199","url":null,"abstract":"Let A be a unital C∗-algebra with unit e and let a:b be the parallel sum of the two positive definite elements a and b of A defined by a(a+b)−1b. We show that the parallel sum a:b can be stated by ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"153 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140915003","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}
P. Abascal, F. Fueyo, J. Jimenez, A. Palacio, M. L. Serrano
{"title":"Characterization and construction of sign regular tridiagonal matrices","authors":"P. Abascal, F. Fueyo, J. Jimenez, A. Palacio, M. L. Serrano","doi":"10.1080/03081087.2024.2348116","DOIUrl":"https://doi.org/10.1080/03081087.2024.2348116","url":null,"abstract":"In this paper, a method for the construction of tridiagonal sign regular (SR) matrices is presented, as well as the necessary conditions to carry out this construction and the characterization of t...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"68 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091978","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}
{"title":"Nice operators and nice spaces","authors":"Sasan Amiri, Azin Golbaharan, Hakimeh Mahyar","doi":"10.1080/03081087.2024.2349792","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349792","url":null,"abstract":"In this paper we obtain a necessary and sufficient condition for an operator on a uniform algebra to be nice. We characterize nice operators on an expansive class of Banach spaces. Then as examples...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"39 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140919482","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}