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 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary
and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary …

We define the concepts of the first and the second module dual of a Banach space X. And
also bring a new concept of module amenability for a Banach algebra ${\mathcal {A}} $. For …

In this paper, we generalize the notion of n n-weak module amenability of a Banach algebra
AA which is a Banach module over another Banach algebra UU with compatible actions to …

This article is intended towards the study of the bidual of generalized group algebra L1 (G,
A) equipped with two Arens product, where G is any locally compact group and A is a …

We prove a general version of Mackey's Imprimitivity Theorem for induced representations of
locally compact groups. Let G be a locally compact group and let H be a closed subgroup …

This article is intended towards the study of the bidual of generalized group algebra L 1 (G,
A) equipped with two Arens products, where G is any locally compact group and A is a …

In the sequel of the work of HG Dales and ME Polyakov we give a few more examples of
modules over the Banach algebra L1 (G) whose projectivity resp. flatness implies the …

In this paper, we will study the topological centers of $ n-th $ dual of Banach $ A-module $
and we extend some propositions from Lau and\"{U} lger into $ n-th $ dual of Banach $ A …

This article is intended towards the study of the bidual of generalized group algebra $ L^ 1
(G,\mA) $ equipped with two Arens product, where $ G $ is any locally compact group and …