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.
Multipliers of Segal algebras.