We consider whether, given a locally compact abelian group G and two Banach G-modules
X and Y, every G-module homomorphism from X into Y is continuous. Discontinuous …

Let G be a finite group, and let H be a subgroup of G. The restriction functor Wt W, which
assigns to any G-module (equivalently, representation of G), W, the corresponding H …

Let $\Gamma $ be a locally compact group and $ K $ a Banach space. The left ${L^
1}(\Gamma) $ module $ K $ is by definition absolutely continuous under the composition …

Approximately Injectivity for Banach modules Page 1 www.SID.ir Archive of SID Mathematical
Sciences Vol. 5, No. 4 (2011) 369-380 Approximately Injectivity for Banach modules Amin …

This thesis is concerned with Banach spaces which are modules over Banach algebras. If A
is a Banach algebra, then by a left (right) Banach A-module we mean a Banach space, V …

Let $\Gamma $ be a locally compact group, $\Omega $ a measurable subset of $\Gamma $,
and let ${L_\Omega} $ denote the subspace of ${L^ 1}(\Gamma) $ consisting of all functions …

1. Introduction. As in homology theory, the notion of injectivity was introduced in the category
whose objects are Banach spaces and whose morphisms are contractive (ie, of norm l) …

AXIOMATIC COHOMOLOGY FOR BANACH MODULES and X is a Banach SÍ/3-module,
then Hn(*&, ï*)^//"(9I/3, X*). By Page 1 PROCEEDINGS OF THE AMERICAN …

Injective modules and amenable groups Page 1 Comment. Math. Helv. 88 (2013), 1023–1031
DOI 10.4171/CMH/310 Commentarii Mathematici Helvetici © Swiss Mathematical Society …

1. Introduction. In this paper we begin a study of the structure of Banach modules which
satisfy various algebraic conditions. We will say that X is a Banach module over A, or a …