Schur-multiplicative maps preserving unitarily invariant norms

Characterizations are obtained for maps on real or complex matrices which preserve both the Schur (Hadamard) product and a given unitarily invariant norm.

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Bibliographic Details
Published in:Linear algebra and its applications 2008-02, Vol.428 (4), p.865-870
Main Author: Poon, Edward
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Schur (Hadamard) product
Sciences and techniques of general use
Unitarily invariant norm
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Description
Summary:Characterizations are obtained for maps on real or complex matrices which preserve both the Schur (Hadamard) product and a given unitarily invariant norm.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2007.08.015