… injective Banach left A-module and show that this class of Banach modules are strictly larger
than the class of injective … For 0-injective Banach modules we have the following proposition…

… a certain sense, a natural generalization of a result of … injective Banach modules over a
discrete group algebra (Theorem 2 below). In the last section we are concerned with self-injective …

… a Banach algebra and let φ be a non-zero character on A. We introduce and study the notions
φ-injectivity and φ-projectivity for Banach A-modules … This is a considerable generalization …

… that a module is M"-injective if and only if it is (p, σ)-injective, … existence of injective
envelopes in categories of modules. In … , for modules with a projective cover, to that of ikf-projectivity. …

… This leads to a generalization of … injectivity of some classes of Banach modules over the
group algebra L1(G). Indeed, we prove that the notions of injectivity and character injectivity are …

… and of an injective Banach space to the case of Banach modules. As in the algebraio …
a projective module is a generalization of a free module, and its dual is an injective module, …

… -injective G-Hilbert ℑ–module objects of category BG(ℑ,ζ), we consider the results of the
definition of G-injective … expansion exists iff a generalized Hahn-Banach theorem is credible for …

… injective Banach modules. • In Section 4 we show how amenability of the underlying semigroup
enters the picture. Here we show that the injectivity of certain modules … a generalization …

… generalization of the extension theorem [24], [21], [15] for completely bounded C*-bimodule
morphisms and a proof for the injectivity of the module … a generalization of the Hahn-Banach …

… In the category of Banach spaces, the Hahn-Banach Theorem states that the field of real …
, it is natural to try to generalize this result to direct sums of modules with the (finite) exchange …