Mutations of C*-algebras and quasiassociative JB*-algebras
Angel Rodríguez-Palacios (1987)
Collectanea Mathematica
Similarity:
Angel Rodríguez-Palacios (1987)
Collectanea Mathematica
Similarity:
Ana Rodríguez Palacios (1992)
Publicacions Matemàtiques
Similarity:
We develop a structure theory for left divsion absolute valued algebras which shows, among other things, that the norm of such an algebra comes from an inner product. Moreover, we prove the existence of left division complete absolute valued algebras with left unit of arbitrary infinite hilbertian division and with the additional property that they have nonzero proper closed left ideals. Our construction involves results from the representation theory of the so called "Canonical Anticommutation...
Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
Similarity:
José Antonio Cuenca Mira (2002)
Extracta Mathematicae
Similarity:
Ferdinand Beckhoff (1991)
Studia Mathematica
Similarity:
If A is a normed power-associative complex algebra such that the selfadjoint part is normally ordered with respect to some order, then the Korovkin closure (see the introduction for definitions) of T ∪ {t* ∘ t| t ∈ T} contains J*(T) for any subset T of A. This can be applied to C*-algebras, minimal norm ideals on a Hilbert space, and to H*-algebras. For bounded H*-algebras and dual C*-algebras there is even equality. This answers a question posed in [1].
Siddiqui, Akhlaq A. (2010)
The New York Journal of Mathematics [electronic only]
Similarity:
Miguel Cabrera, José Martínez Aroza, Angel Rodríguez Palacios (1988)
Publicacions Matemàtiques
Similarity:
We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
Similarity:
Miguel Cabrera Garcia, Antonio Moreno Galindo, Angel Rodríguez Palacios (1995)
Studia Mathematica
Similarity:
We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these...
M. Benslimane, L. Mesmoudi, A. Rodríguez Palacios (2000)
Extracta Mathematicae
Similarity:
M. Cabrera, Amir A. Mohammed (2003)
Studia Mathematica
Similarity:
We deal with the algebras consisting of the quotients that produce bounded evaluation on suitable ideals of the multiplication algebra of a normed semiprime algebra A. These algebras of quotients, which contain A, are subalgebras of the bounded algebras of quotients of A, and they have an algebra seminorm for which the relevant inclusions are continuous. We compute these algebras of quotients for some norm ideals on a Hilbert space H: 1) the algebras of quotients with bounded evaluation...