Spectral isometries onto algebras having a separating family of finite-dimensional irreducible representations

被引：8

作者：

Costara, Constantin ^{[3
]}

Repovs, Dusan ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

[3] Ovidius Univ, Fac Math & Informat, Mamaia 124, Constanta, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 02期

关键词：

Spectral isometry; Jordan isomorphism; Finite-dimensional irreducible representation; Preserver; BANACH-ALGEBRAS;

D O I：

10.1016/j.jmaa.2009.11.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if A is a complex. unital semisimple Banach algebra and B is a complex, unital Banach algebra having a separating family of finite-dimensional irreducible representations, then any unital linear operator from A onto L; which preserves the spectral radius is a Jordan morphistn. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：605 / 608

页数：4

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