A sharp bound for the Frobenius norm of self-commutators of matrices

Michael Gil’

doi:10.1080/03081087.2016.1273875

A sharp bound for the Frobenius norm of self-commutators of matrices

Michael Gil’

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For an arbitrary (Formula presented.) matrix A and the the Frobenius norm (Formula presented.), it is proved that (Formula presented.) In addition, we derive inequalities for (Formula presented.) which are attained for normal matrices.

Original language	English
Pages (from-to)	2333-2339
Number of pages	7
Journal	Linear and Multilinear Algebra
Volume	65
Issue number	11
DOIs	https://doi.org/10.1080/03081087.2016.1273875
State	Published - 2 Nov 2017

Keywords

Frobenius norm
Matrices
commutator
norm estimate

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/03081087.2016.1273875

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title = "A sharp bound for the Frobenius norm of self-commutators of matrices",

abstract = "For an arbitrary (Formula presented.) matrix A and the the Frobenius norm (Formula presented.), it is proved that (Formula presented.) In addition, we derive inequalities for (Formula presented.) which are attained for normal matrices.",

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KW - Frobenius norm

KW - Matrices

KW - commutator

KW - norm estimate

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A sharp bound for the Frobenius norm of self-commutators of matrices

Abstract

Keywords

ASJC Scopus subject areas

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