Three linear preservers on infinite triangular matrices

R. Słowik

doi:10.1080/03081087.2014.896357

Three linear preservers on infinite triangular matrices

R. Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

We consider three linear preserver problems on the algebra of infinite triangular matrices over fields. We characterize the maps preserving invertible and noninvertible matrices, the surjective maps preserving inverses and the surjective maps preserving rank permutability.

Język oryginału	angielski
Strony (od–do)	672-694
Liczba stron	23
Czasopismo	Linear and Multilinear Algebra
Tom	63
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1080/03081087.2014.896357
Status publikacji	Opublikowano - 3 kwi 2015

Obszary tematyczne ASJC Scopus

Algebra i teoria liczb

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10.1080/03081087.2014.896357

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title = "Three linear preservers on infinite triangular matrices",

abstract = "We consider three linear preserver problems on the algebra of infinite triangular matrices over fields. We characterize the maps preserving invertible and noninvertible matrices, the surjective maps preserving inverses and the surjective maps preserving rank permutability.",

keywords = "infinite triangular matrices, invertibility preservers, linear preserver problem, rank permutability preservers",

author = "R. S{\l}owik",

note = "Publisher Copyright: {\textcopyright} 2014, {\textcopyright} 2014 Taylor \& Francis.",

year = "2015",

month = apr,

day = "3",

doi = "10.1080/03081087.2014.896357",

language = "English",

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AU - Słowik, R.

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AB - We consider three linear preserver problems on the algebra of infinite triangular matrices over fields. We characterize the maps preserving invertible and noninvertible matrices, the surjective maps preserving inverses and the surjective maps preserving rank permutability.

KW - infinite triangular matrices

KW - invertibility preservers

KW - linear preserver problem

KW - rank permutability preservers

UR - https://www.scopus.com/pages/publications/84919843033

U2 - 10.1080/03081087.2014.896357

DO - 10.1080/03081087.2014.896357

M3 - Article

AN - SCOPUS:84919843033

SN - 0308-1087

VL - 63

SP - 672

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JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

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ER -

Three linear preservers on infinite triangular matrices

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