Abstract

We obtain a representation of unitarily invariant norm in terms of Ky Fan norms [see R. Bhatia, Matrix Analysis, Springer, New York et al., 1997, p. 35]. Indeed we obtain a more general result in the context of Eaton triple with reduced triple. Examples are given.

Author information

Contact details are reproduced from the original publication and may be historical.

Piotr Niemiec

Jagiellonian University, Institute of Mathematics, ul. Łojasiewicza 6, 30-348 Kraków, Poland

piotr.niemiec@uj.edu.pl

Tin-Yau Tam

Dept. of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5310, U.S.A.

tamtiny@auburn.edu

Keywords

  • Eaton triple
  • G-invariant norms
  • symmetric gauge functions
  • Ky Fan norms
  • finite reflection groups

Mathematics Subject Classification

15A60, 65F35

Suggested citation

P. Niemiec, T.-Y. Tam. “A Representation of G-invariant norms for Eaton Triple.” Journal of Convex Analysis 18 (2011), No. 1, 59–65. https://doi.org/10.68381/jca18003

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press.