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Articles

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

Pages 2333-2339 | Received 05 Feb 2016, Accepted 13 Oct 2016, Published online: 29 Dec 2016
 

Abstract

For an arbitrary matrix A and the the Frobenius norm , it is proved that

In addition, we derive inequalities for which are attained for normal matrices.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

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