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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A structure theorem for the polars of unitarily invariant norms

Authors: Govind S. Mudholkar and Marshall Freimer
Journal: Proc. Amer. Math. Soc. 95 (1985), 331-337
MSC: Primary 15A60; Secondary 47A30
MathSciNet review: 806065
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Abstract: The unitarily invariant norms of matrices, or operators, are essentially the symmetric norms of their singular values. A subclass of these norms depending upon only a few largest of the singular values is considered, and the polars of these norms are characterized. The result is then used to obtain generalizations of some well-known inequalities. The implications for operators on infinite-dimensional spaces are discussed.

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Keywords: Symmetric gauge functions, Holder’s inequality, conjugates, <IMG WIDTH="24" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img3.gif" ALT="${c_p}$">
Article copyright: © Copyright 1985 American Mathematical Society