The Generalized of Selber's Inequalities in $C^*$-Module

Samir Kabbaj, Abdellatif Chahbi, Ahmed Charifi, Nourdine Bounader

We obtain a Generalized of Selberg's type inequalities in Hilbert spaces and their extensions in operators algebras, in $C^*$-modules and in algebras of adjointable $\Bbb A$-linear maps. Some applications for improving the Bessel type inequality result are given.