Continuity of homomorphisms into normed algebras without topological divisors of zero.
ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Similarity:
ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Similarity:
Armando R. Villena Muñoz (1988)
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...
Angel Rodríguez Palacios (1994)
Banach Center Publications
Similarity:
Introduction. The aim of this paper is to review some relevant results concerning the geometry of nonassociative normed algebras, without assuming in the first instance that such algebras satisfy any familiar identity, like associativity, commutativity, or Jordan axiom. In the opinion of the author, the most impressive fact in this direction is that most of the celebrated natural geometric conditions that can be required for associative normed algebras, when imposed on...
A. Beddaa, M. Oudadess (1989)
Studia Mathematica
Similarity:
P. K. Kamthan (1966)
Collectanea Mathematica
Similarity:
W. Żelazko (1962)
Studia Mathematica
Similarity:
Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
Similarity:
V. Mascioni (1987)
Elemente der Mathematik
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...