Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras

Autor:	Juyoung Jeong, Yoon Mo Jung, Yongdo Lim
Rok vydání:	2020
Předmět:	Numerical Analysis Pure mathematics Algebra and Number Theory Quadratic equation Jordan algebra Mathematics::Rings and Algebras Euclidean geometry Discrete Mathematics and Combinatorics Geometry and Topology Characterization (mathematics) Automorphism Majorization Mathematics
Zdroj:	Linear Algebra and its Applications. 597:133-154
ISSN:	0024-3795
DOI:	10.1016/j.laa.2020.03.028
Popis:	In this paper, we extend the notion of weak majorization and doubly substochastic maps, and the Hardy-Littlewood-Polya theorem on majorization to Euclidean Jordan algebras. We also provide a characterization of doubly substochastic maps on Euclidean Jordan algebras in terms of Jordan algebra automorphisms and quadratic representations. In conjunction with that, various weak majorization inequalities of Aujla-Silva are generalized to Euclidean Jordan algebras.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d37b6ec9b184e27092da8d7025eb43c2 https://doi.org/10.1016/j.laa.2020.03.028 Zobrazit plný text záznamu Full Text from ScienceDirect