Spectrum Preserving Linear Maps Between Banach Algebras

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, Yasouj University, P. O. Box 75918-74831, Yasouj, Iran.
Abstract:

In this paper we show that if A is a unital Banach algebra and B is a purely innite C*-algebra such that has a non-zero commutative maximal ideal and $phi:A rightarrow B$ is a unital surjective spectrum preserving linear map. Then $phi$ is a Jordan homomorphism.

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Journal title

volume 4  issue 2

pages  183- 187

publication date 2015-12-31

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