Invertibility-preserving maps of C∗-algebras with real rank zero

In 1996, Harris and Kadison posed the following problem: show that a linear bijection between C∗-algebras that preserves the identity and the set of invertible elements is a Jordan isomorphism. In this paper, we show that if A and B are semisimple Banach algebras and Φ:A→B is a linear map onto B tha...

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Bibliographic Details
Main Author: Istvan Kovacs
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.685
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