On Minimal Norms on Mn

Madjid Mirzavaziri and Mohammad Sal Moslehian

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

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

Date: 2007
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https://doi.org/10.1155/2007/52840

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:052840

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