Invertibility preserving linear maps on the semi-simple Banach algebras

2009/03/02 by Mohammad R. Farmani, Farmani, Mohammad R.
Mathematics · #46J10 #46J15 #46J20 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46J10 #msc:46J15 #msc:46J20

paper · pdf · doi:10.48550/arxiv.0903.0230

1 pages

arxiv created 2011/12/17 · arxiv updated 2011/12/20

Abstract

In this paper, we show that the essentiality of the scole of an ideal B i a semi-simple Banach algebra A implies that any invertibility preserving isomorphism on A is a Jordan homomorphism. Specially ...

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