Isometries for unitarily invariant norms

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Abstract

A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.

msc

15A60
15A04
15A18

Keywords

Isometry
Unitarily invariant norm
Singular values

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