Linear maps preserving the spectral radius

被引：84

作者：

Bresar, M

Semrl, P

机构：

[1] University of Maribor, PF, 62000 Maribor

[2] University of Maribor, TF, 62000 Maribor

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1996年 / 142卷 / 02期

关键词：

D O I：

10.1006/jfan.1996.0153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 every 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.

引用

页码：360 / 368

页数：9

共 12 条

[1] THE UNIQUENESS OF THE COMPLETE NORM TOPOLOGY IN BANACH-ALGEBRAS AND BANACH JORDAN ALGEBRAS [J].