A Representation of G-invariant norms for Eaton Triple

Piotr Niemiec; Tin-Yau Tam

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. Lojasiewicza 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.