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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Costara, Constantin³  Repovs, Dusan^1,2 

[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

关键词: Spectral isometry;    Jordan isomorphism;    Finite-dimensional irreducible representation;    Preserver;   

DOI  :  10.1016/j.jmaa.2009.11.040

来源: Elsevier

【 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.

【 授权许可】

Free