Maps Preserving Peripheral Spectrum of Generalized Jordan Products of Self-Adjoint Operators

Let A1 and A2  be standard real Jordan algebras of self-adjoint operators on complex Hilbert spaces H1  and  H2, respectively. For  k≥2, let  (i1,…,im) be a fixed sequence with i1,…,im∈{1,…,k} and assume that at least one of the terms in (i1,…,im) appears exactly once. Define the generalized Jordan...

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Bibliographic Details
Main Authors: Wen Zhang, Jinchuan Hou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/192040