Displaying similar documents to “Isomorphisms of Jordan-Banach algebras.”

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.

On annihilators in Jordan algebras.

Antonio Fernández López (1992)

Publicacions Matemàtiques

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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.

The triple-norm extension problem: the nondegenerate complete case.

A. Moreno Galindo (1999)

Studia Mathematica

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We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.

The Jordan structure of CSL algebras

Fangyan Lu (2009)

Studia Mathematica

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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.

The range of a derivation on a Jordan-Banach algebra

M. Brešar, A. R. Villena (2001)

Studia Mathematica

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The questions when a derivation on a Jordan-Banach algebra has quasi-nilpotent values, and when it has the range in the radical, are discussed.

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

A. Moreno Galindo (1997)

Studia Mathematica

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