Linear minimal rank preservers on infinite triangular matrices

R. Słowik

doi:10.2206/kyushujm.69.63

Linear minimal rank preservers on infinite triangular matrices

R. Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

We study the minimal rank of an infinite upper triangular matrix over a field. We characterize all linear maps on this space that preserve the minimal rank. Moreover, we give a partial solution to some open problems concerning this notion.

Język oryginału	angielski
Strony (od–do)	63-68
Liczba stron	6
Czasopismo	Kyushu Journal of Mathematics
Tom	69
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.2206/kyushujm.69.63
Status publikacji	Opublikowano - 2015

Obszary tematyczne ASJC Scopus

Matematyka ogólna

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10.2206/kyushujm.69.63

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title = "Linear minimal rank preservers on infinite triangular matrices",

abstract = "We study the minimal rank of an infinite upper triangular matrix over a field. We characterize all linear maps on this space that preserve the minimal rank. Moreover, we give a partial solution to some open problems concerning this notion.",

keywords = "Infinite triangular matrices, Linear preserver problem, Minimal rank",

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

note = "Publisher Copyright: {\textcopyright} 2015 Faculty of Mathematics, Kyushu University.",

year = "2015",

doi = "10.2206/kyushujm.69.63",

language = "English",

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KW - Infinite triangular matrices

KW - Linear preserver problem

KW - Minimal rank

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Linear minimal rank preservers on infinite triangular matrices

Abstrakt

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