In this paper, we define the n-weak module amenability for a Banach algebra A which is a
Banach module over another Banach algebra Θ with compatible actions, and find the …

Let G be a locally compact group and X a weak*-closed translation invariant subspace of
L∞(G). It is shown that the following conditions are equivalent:(i) X has a closed G-invariant …

For a locally compact (non-compact) group G, consider L∞(G) as a left module over the
algebra L 1 (G)∗∗, endowed with the first Arens product. We answer in the affirmative a …

Let ${\mathcal A} $ be a Banach algebra and let $\phi $ be a non-zero character on
${\mathcal A} $. We introduce the notion of $\phi $-ergodic property for a Banach right …

In this paper, in analogy with the classical case, we introduce module approximately
biprojective and module approximately biflat Banach algebras. For an inverse semigroup S …

Let A and U be Banach algebras such that U is also a Banach A-bimodule with compatible
algebra operations, module actions and norm. By defining an approprite action, we turn l1 …

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) …

Dedekind Complete and Order Continuous Banach C(K)-Modules | SpringerLink Skip to main
content Advertisement SpringerLink Account Menu Find a journal Publish with us Track your …

When one considers module derivations from commutative Banach algebras it seems
natural to restrict the attention to symmetric modules, that is, modules where left and right …

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 …