Hilbert Modules And Their Representation.
Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules
We compute the algebraic and continuous Hochschild cohomology groups of certain Fréchet algebras of analytic functions on a domain U in with coefficients in one-dimensional bimodules. Among the algebras considered, we focus on A=A(U). For this algebra, our results apply if U is smoothly bounded and strictly pseudoconvex, or if U is a product domain.
Homological dimensions and approximate contractibility for Köthe algebras
We give a survey of our recent results on homological properties of Köthe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on the approximate contractibility of Köthe algebras are also presented.
Homotopy classes of elliptic transmission problems over -algebras.
Hyers-Ulam-Rassias stability of generalized derivations.
Ideally factored algebras.
Indice d'une espérance conditionnelle
Individual factorization in Banach modules
Induced bornological representations of bornological algebras
Integral operators on the section space of a Banach bundle.
Internal functionals and bundle duals.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Irreducible C (X)-modules are one dimensional: a bundle-theoretical proof
Isomorphisms of Hilbert C*-modules and *-isomorphisms of related operator C*-algebras.
Methods of differentiation in topological A-Modules
Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras
We introduce and study the metric or extreme versions of the notions of a flat and an injective normed module. The relevant definitions, in contrast with the standard known ones, take into account the exact value of the norm of the module. The main result gives a full characterization of extremely flat objects within a certain category of normed modules. As a corollary, some Hahn-Banach type theorems for normed modules are obtained.
Modular bases in a Hilbert -module
Module structures on iterated duals of Banach algebras.
Module -amenability of Banach algebras
Let be an inverse semigroup with the set of idempotents and be an appropriate group homomorphic image of . In this paper we find a one-to-one correspondence between two cohomology groups of the group algebra and the semigroup algebra with coefficients in the same space. As a consequence, we prove that is amenable if and only if is amenable. This could be considered as the same result of Duncan and Namioka [5] with another method which asserts that the inverse semigroup is amenable...
Multipliers of Imprimitivity Bimodules and Morita Equivalence of Crossed Products.