In this paper, we investigate EP modular operator matrices on Hilbert C*-modules setting. The necessary and sufficient conditions for some to be are discussed, based the generalized Schur complement. These enable us generalize results of Meenakshi (1958) [11] block matrices.

The present paper aims to study $c$-$g$-woven for Hilbert $C^ {*} $-module spaces, first, we give some definitions and fundamental properties which will be useful introduce the notion. And also of his are given. Finally, discuss perturbation $c$-$g$-woven.

We define Schatten classes of adjointable operators on Hilbert modules over abelian C⁎-algebras. Many key features carry from the space case. In particular, form two-sided ideals compact and are equipped with a Banach norm C⁎-valued trace expected properties. For trivial bundles, we show that our Schatten-class can be identified bijectively Schatten-norm–continuous maps base into fiber, fiberwi...

Let X and Y be Hilbert C *-modules over a C *-algebra, and ϕ : X × Y → [0, ∞) be a function. A (not necessarily linear) mapping f : X → Y is called a ϕ-perturbed adjointable mapping if there exists a (not necessarily linear) mapping g : Y → X such that In this paper, we investigate the stability of adjointable mappings on Hilbert C *-modules and discuss the case where the modules are self-dual....