Displaying similar documents to “Trace and Spectrum Preserving Linear Mappings in Jordan-Banach Algebras.”

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.

Spectrum preserving linear mappings in Banach algebras

B. Aupetit, H. du T. Mouton (1994)

Studia Mathematica

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Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.

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.