Spectrum Preserving Linear Maps Between Banach Algebras
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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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