Computing and estimating the global dimension in certain classes af Banach algebras.
Concerning a problem of Arens on removable ideals in Banach algebras
Concerning entire functions in -algebras
We construct a non-m-convex non-commutative -algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.
Concerning spectral characterizations of the radical in Banach algebras
Concerning topologization of real or complex algebras
Continuité des caractères des algèbres localement multiplicativement convexes
Continuité des homomorphismes d'une algèbre métrisable et complète sur certaines algèbres de Banach.
Continuité et uniforme continuité du spectre dans les algèbras de Banach
Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity
Continuity of characters in products of algebras
Continuity of derivations from radical convolution algebras
Continuity of derivations on semi-prime Banach algebras.
Continuity of generalized inverses in Banach algebras
The main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory.
Continuity of Jordan homomorphisms of Banach algebras.
Continuity of spectrum and spectral radius in algebras of operators
Continuity of spectrum and spectral radius in Banach algebras
This survey deals with necessary and/or sufficient conditions for continuity of the spectrum and spectral radius functions at a point of a Banach algebra.
Continuous characters and joint topological spectrum
Continuous homomorphisms of Arens-Michael algebras.
Contractive projections and Seever’s identity in complex -algebras
In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex -algebra satisfies Seever’s identity.
Contribuciones al análisis funcional no-standard.
En este trabajo presentamos aportaciones al tratamiento no-standard del Análisis Funcional en dos direcciones. En la sección 2 la envoltura no-standard de un espacio vectorial topológico, introducida por Luxemburg [7] y por Henson y Moore [2] se aplica al caso de un álgebra topológica. En las secciones 3 y 4 se dan caracterizaciones de elementos accesibles (pre-near-standard) y casi-standard (near-standard) en espacios vectoriales topológicos en términos de una familia filtrante densa de subespacios...