Citation
M. Bresar et P. Semrl, LINEAR-MAPS PRESERVING THE SPECTRAL-RADIUS, Journal of functional analysis, 142(2), 1996, pp. 360-368
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00221236
Volume
142
Issue
2
Year of publication
1996
Pages
360 - 368
Database
ISI
SICI code
0022-1236(1996)142:2<360:LPTS>2.0.ZU;2-Z
Abstract
Let X be a complex Banach space. If Phi: B(X) --> B(X) is a surjective
linear map such that A and Phi(A) have the same spectral radius for e
very A is an element of B(X), then Phi = c Theta where Theta is either
an algebra-automorphism or antiautomorphism of B(X) and c is complex
constant such that /c/ = 1. (C) 1996 Academic Press, Inc.