连续半 Fredholm 算子族的指标、正则性与半正则性
泛函分析
2020-10-27 v1 谱理论
摘要
在本文中，我们定义并给出了连续半 Fredholm 有界线性算子族的一个指标。此外，我们研究了连续有界线性算子族的各种正则性与半正则性。
引用
@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}
}
备注
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