Index of continuous semi-Fredholm families, regularities and semiregularities
Functional Analysis
2020-10-27 v1 Spectral Theory
Abstract
In this paper, we define and index for continuous families of semi-Fredholm bounded liner operators. Moreover, we study various regularities and semiregularities of continuous families of bounded linear operators.
Keywords
Cite
@article{arxiv.2010.13327,
title = {Index of continuous semi-Fredholm families, regularities and semiregularities},
author = {Mohammed Berkani},
journal= {arXiv preprint arXiv:2010.13327},
year = {2020}
}
Comments
This paper is a continuation of our papers: arxiv:1912.07267v1 and arxiv:2010.07040v1. The aim of these series of papers is to define an index for continuous Fredholm or semi-Fredholm families. Several applications are given through these papers, in particular a new generalization of Weyl theorem is obtained in the paper arxiv:1912.07267v1 for normal families acting on a Hilbert space. arXiv admin note: text overlap with arXiv:2010.07040