Groups of matrices with approximately submultiplicative spectra

Abstract We say that a semigroup of matrices has a submultiplicative spectrum if the spectrum of the product of any two elements of the semigroup is contained in the product of the two spectra in question (as sets). In this note, we explore an approximate version of this condition.

Publication Details

Journal
Canadian Mathematical Bulletin
Published
2025-09-16
DOI
https://doi.org/10.4153/s0008439525101215
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

Groups of matrices with approximately submultiplicative spectra

Canadian Mathematical Bulletin
Holomorphic and Operator Theory
article

Groups of matrices with approximately submultiplicative spectra

article en

Abstract

Abstract We say that a semigroup of matrices has a submultiplicative spectrum if the spectrum of the product of any two elements of the semigroup is contained in the product of the two spectra in question (as sets). In this note, we explore an approximate version of this condition.

Canadian Mathematical Bulletin
Natural Sciences and Engineering Research Council of Canada
Reduced inequalities
Openalex Percentile: Top 35%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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Groups of matrices with approximately submultiplicative spectra · Canadian Mathematical Bulletin (2025) | TGRS Research Map | TGRS