On Classes of Fredholm Type Operators
Functional Analysis
2024-01-11 v2 Spectral Theory
Abstract
Given an idempotent in a Banach algebra and following the study in \cite{P50} of p-invertibility, we consider here left p-invertibility, right p-invertibility and p-invertibility in the Calkin Algebra where is a Banach space. Then we define and study left and right generalized Drazin invertibility and we characterize left and right Drazin invertible elements in the Calkin algebra. Globally, this leads to define and characterize the classes of P-Fredholm, pseudo B-Fredholm and weak B-Fredholm operators.
Keywords
Cite
@article{arxiv.2401.01061,
title = {On Classes of Fredholm Type Operators},
author = {Alaa Hamdan and Mohammed Berkani},
journal= {arXiv preprint arXiv:2401.01061},
year = {2024}
}