Concrete minimal 3 × 3 Hermitian matrices and some general cases

Concrete minimal 3 × 3 Hermitian matrices and some general cases AbstractGiven a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm. Moreover, we generalize our techniques to some n × n cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Concrete minimal 3 × 3 Hermitian matrices and some general cases

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Publisher
De Gruyter Open
Copyright
© by Alejandro Varela
ISSN
0420-1213
eISSN
2391-4661
D.O.I.
10.1515/dema-2017-0032
Publisher site
See Article on Publisher Site

Abstract

AbstractGiven a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm. Moreover, we generalize our techniques to some n × n cases.

Journal

Demonstratio Mathematicade Gruyter

Published: Dec 20, 2017

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