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Generalized circular projections

We study r-circular projections of matrix norms with some special properties, including the unitarily invariant norms, the unitary congruence invariant norms, and the unitary similarity invariant norms. In each case, we determine all values r for the existence of r-circular projections corresponding...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2022-11, Vol.515 (1), p.126378, Article 126378
Main Authors: Ilišević, Dijana, Li, Chi-Kwong, Poon, Edward
Format: Article
Language:English
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Summary:We study r-circular projections of matrix norms with some special properties, including the unitarily invariant norms, the unitary congruence invariant norms, and the unitary similarity invariant norms. In each case, we determine all values r for the existence of r-circular projections corresponding to isometries of a certain form.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126378