Continuity of derivations on semi-prime Banach algebras.
Dumitru D. Draghia (1995)
Extracta Mathematicae
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Displaying similar documents to “Continuity of Jordan homomorphisms of Banach algebras.”
Continuity of derivations on semi-prime Banach algebras.
Recent trends in the field of Jordan-Banach algebras
Bernard Aupetit (1994)
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Remarks on the bidual of Banach algebras (the case)
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Isomorphisms of Jordan-Banach algebras.
M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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Derivations on Jordan-Banach algebras
A. Villena (1996)
Studia Mathematica
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We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.
Banach-power-associative algebras and J-B algebras
Bruno Iochum, Guy Loupias (1985)
Annales de l'I.H.P. Physique théorique
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Trace and Spectrum Preserving Linear Mappings in Jordan-Banach Algebras.
Bernard Aupetit (1998)
Monatshefte für Mathematik
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Analytic properties of the spectrum in Banach Jordan Systems.
Gerald Hessenberger (1996)
Collectanea Mathematica
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For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.
The Gleason-Kahane-Żelazko theorem and its generalizations
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?