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Subjects
46-XX Functional analysis
46Hxx Topological algebras, normed rings and algebras, Banach algebras
46H70 Nonassociative topological algebras

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Derivations on Jordan-Banach algebras

A. Villena (1996)

Studia Mathematica

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.

Diagonalization in Banach algebras and Jordan-Banach algebras.

Abdelaziz Maouche (2004)

Extracta Mathematicae

Distinguishing Jordan polynomials by means of a single Jordan-algebra norm

A. Moreno Galindo (1997)

Studia Mathematica

For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra $M_{\infty} ()$ with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on $M_{\infty} ()$ . This analytic determination of Jordan polynomials improves the one recently obtained in [5].

Dual spaces of JB*-triples and the Radon-Nikodym property.

L.J. Bunce, C.-H. Chu (1991)

Mathematische Zeitschrift

Currently displaying 1 – 4 of 4

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