An approach to Jordan-Banach algebras from the theory of nonassociative complete normed algebras
Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Antonio Fernández López (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Abdelfattah Haily (1997)
Extracta Mathematicae
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The weak radical, W-Rad(A) of a non-associative algebra A, has been introduced by A. Rodríguez Palacios in [3] in order to generalize the Johnson's uniqueness of norm theorem to general complete normed non-associative algebras (see also [2] for another application of this notion). In [4], he showed that if A is a semiprime non-associative algebra with DCC on ideals, then W-Rad(A) = 0. In the first part of this paper we give an example of a non-semiprime associative algebra A with DCC...
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.
Bernard Aupetit (1994)
Banach Center Publications
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M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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Ottmar Loos (1989)
Collectanea Mathematica
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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.
Bohdan Tomiuk, Bertram Yood (1989)
Studia Mathematica
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