5 papers · 1 filter
Index of continuous families of bounded linear operators in Banach spaces and application
Mohammed Berkani
In this paper, we define an analytical index for continuous families of Fredholm operators parameterized by a topological space into a Banach space We also consid…
A new approach in index theory
Mohammed Berkani
In this paper, we define an analytical index for a continuous family of Fredholm operators parameterized by a topological space into a Hilbert space as a sequence…
Toplogical uniform descent, quasi-Fredholmness and operators originated from semi-B-Fredholm theory
Snežana Č. Živković-Zlatanović, Mohammed Berkani
In this paper we study operators originated from semi-B-Fredholm theory and as a consequence we get some results regarding boundaries and connected hulls of the corresponding spect…
Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the Calkin Algebra
Mohammed Berkani, Snežana Č. Živković-Zlatanović
We define here a pseudo B-Fredholm operator as an operator such that 0 is isolated in its essential spectrum, then we prove that an operator is pseudo- B-Fredholm if and only i…
Abstract Weyl-type Theorems
Mohammed Berkani
In this paper, we give a new approach for the study of Weyl-type theorems. Precisely we introduce the concepts of spectral valued and spectral partitioning functions. Using two nat…