Maps on infinite triangular matrices preserving idempotents
type: Item
instance of: scholarly article
title: Maps on infinite triangular matrices preserving idempotents
zbMATH Open document ID: 1305.15064
DOI: 10.1080/03081087.2013.801965
author: Roksana Słowik
published in: Linear and Multilinear Algebra
publication date: 2014-10-29T00:00:00Z
Mathematics Subject Classification ID: 15A86
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 6362383
zbMATH Keywords: preserver
zbMATH Keywords: idempotent
zbMATH Keywords: infinite triangular matrix
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03081087.2013.801965
OpenAlex ID: W2039683739
cites work: Chapter 9: miscellaneous preserver problems
cites work: Linear preserver problems: A brief introduction and some special techniques
cites work: Idempotence-preserving maps without the linearity and surjectivity assumptions
cites work: Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces
cites work: A note on \(k\)-potence preserving maps
cites work: Hua's fundamental theorem of the geometry of matrices.
cites work: Linear operators preserving idempotent matrices over fields
cites work: Additive preservers of idempotence and Jordan homorphisms between rings of square matrices
cites work: Additive operators preserving idempotent matrices over fields and applications
cites work: Linear maps preserving idempotence on matrix modules over principal ideal domains
cites work: Linear operators strongly preserving idempotent matrices over semirings
cites work: Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
cites work: Maps preserving the idempotency of products of operators
cites work: Invertibility preserving maps preserve idempotents
cites work: Some linear preserver problems on upper triangular matrices
cites work: Linear preservers on triangular matrices
cites work: Maps on upper-triangular matrix algebras preserving \(k\)-potences
cites work: Maps on matrix algebras preserving idempotents
reviewed by: Wu Jing
description: scientific article; zbMATH DE number 6362383