Majorization on ℓ∞ and on its closed linear subspace c, and their linear preservers

Autor:	A. Bayati Eshkaftaki, Seyed Mahmoud Manjegani, Farid Bahrami
Rok vydání:	2012
Předmět:	Numerical Analysis Algebra and Number Theory Structure (category theory) Banach space Linear subspace Combinatorics Permutation Bounded function Discrete Mathematics and Combinatorics Geometry and Topology Stress majorization Majorization Subspace topology Mathematics
Zdroj:	Linear Algebra and its Applications. 437:2340-2358
ISSN:	0024-3795
DOI:	10.1016/j.laa.2012.06.006
Popis:	In this paper, we extend the notion of majorization to l ∞ , the Banach space of all bounded real sequences, and investigate some of its properties. Considering this notion on c , the subspace of all convergent real sequences, the structure of all bounded linear operators which preserve the majorization relation on this subspace is obtained. Finally we introduce two different classes of linear preservers of majorization on l ∞ which illustrate some important differences between the structure of these operators on l ∞ and those on l p spaces, for 1 ⩽ p ∞ , as well as those on c .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::139ea9d4a817676586fa1ebf3950c216 https://doi.org/10.1016/j.laa.2012.06.006 Zobrazit plný text záznamu Full Text from ScienceDirect