Numerical Range-preserving Linear Maps Between C*- Algebras

Volume 1, Issue 3, pp 160--166 http://dx.doi.org/10.22436/jmcs.001.03.04

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Authors

A. Taghavi - Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran R. Parvinianzadeh - Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran

Abstract

In this paper, we discuss numerical range-preserving maps between \(C^*\)-algebras. As applications, we characterize such maps in terms of Jordan \(*\)-isomorphisms on unital \(C^*\)- algebras.

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Keywords

• \(C^*\)- algebra
• Jordan homomorphism
• Linear Preserving
• Numerical range.

MSC

•  47B49
•  47B48
•  47A12

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