Hereditary properties of character injectivity with applications to semigroup algebras
M Essmaili, M Fozouni, J Laali - Annals of Functional Analysis, 2015 - projecteuclid.org
M Essmaili, M Fozouni, J Laali
Annals of Functional Analysis, 2015•projecteuclid.orgIn this paper, we investigate the notion $\phi $-injectivity for Banach $ A $-modules, where
$\phi $ is a character on $ A. $ We obtain some hereditary properties of $\phi $-injectivity for
certain classes of Banach modules related to closed ideals. These results allow us to study
$\phi $-injectivity of certain Banach $ A $-modules in commutative case, specially $\ell^{1} $-
semilattice algebras. As an application, we give an example of a non-injective Banach
module which is $\phi $-injective for each character $\phi. $
$\phi $ is a character on $ A. $ We obtain some hereditary properties of $\phi $-injectivity for
certain classes of Banach modules related to closed ideals. These results allow us to study
$\phi $-injectivity of certain Banach $ A $-modules in commutative case, specially $\ell^{1} $-
semilattice algebras. As an application, we give an example of a non-injective Banach
module which is $\phi $-injective for each character $\phi. $
In this paper, we investigate the notion -injectivity for Banach -modules, where is a character on We obtain some hereditary properties of -injectivity for certain classes of Banach modules related to closed ideals. These results allow us to study -injectivity of certain Banach -modules in commutative case, specially -semilattice algebras. As an application, we give an example of a non-injective Banach module which is -injective for each character
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