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2007 On Minimal Norms on M n
Madjid Mirzavaziri, Mohammad Sal Moslehian
Abstr. Appl. Anal. 2007: 1-4 (2007). DOI: 10.1155/2007/52840

Abstract

We show that for each minimal norm N ( ) on the algebra n of all n × n complex matrices, there exist norms 1 and 2 on n such that N ( A ) = max { A x 2 : x 1 = 1 ,   x n } for all A n . This may be regarded as an extension of a known result on characterization of minimal algebra norms.

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Madjid Mirzavaziri. Mohammad Sal Moslehian. "On Minimal Norms on M n ." Abstr. Appl. Anal. 2007 1 - 4, 2007. https://doi.org/10.1155/2007/52840

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1151.15026
MathSciNet: MR2353782
Digital Object Identifier: 10.1155/2007/52840

Rights: Copyright © 2007 Hindawi

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