Some Formulae for Norms of Elementary Operators

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present a formula for the norm of an elementary operator on a C*-algebra that seems to be new. The formula involves (matrix) numerical ranges and a kind of geometrical mean for positive matrices, the tracial geometric mean, which seems not to have been studied previously and has interesting properties. In addition, we characterise compactness of elementary operators.
27 pages, J. Operator Theory (to appear)

Keywords

Operator Algebras, 47B47; 46L07

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/94772

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509491
 http://arxiv.org/abs/math/0509491

Collections

arXiv