Banach algebras which are a direct sum of division algebras
Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Kovacs, Istvan (2005)
Abstract and Applied Analysis
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Rachid ElHarti, Mohamed Mabrouk (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let A and B be two non-unital reduced Banach *-algebras and φ: A → B be a vector space isomorphism. The two following statement holds: If φ is a *-isomorphism, then φ is isometric (with respect to the C*-norms), bipositive and φ maps some approximate identity of A onto an approximate identity of B. Conversely, any two of the later three properties imply that φ is a *-isomorphism. Finally, we show that a unital and self-adjoint spectral isometry between semi-simple Hermitian Banach algebras...
Bernard Aupetit (1994)
Banach Center Publications
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Feinstein, J.F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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A. Sourour (1994)
Banach Center Publications
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This expository article deals with results surrounding the following question: Which pairs of Banach algebras A and B have the property that every unital invertibility preserving linear map from A to B is a Jordan homomorphism?
Bernard Aupetit (1982)
Banach Center Publications
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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