Measures of noncompactness and upper semi-Fredholm perturbation theorems-Reference-Cited by-同舟云学术

Measures of noncompactness and upper semi-Fredholm perturbation theorems

Published:1993 Issue:3 Volume:118 Page:891-897
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Galaz-Fontes Fernando

Abstract

We introduce the concept of a perturbation function, which allows us to give a general approach to the question of obtaining perturbation theorems for upper semi-Fredholm operators. Also, we show that the usual measures of noncompactness of continuous linear operators, as well as other related quantities, are perturbation functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-118-03/S0002-9939-1993-1151810-3/S0002-9939-1993-1151810-3.pdf

Reference12 articles.

1. On the bounded compact approximation property and measures of noncompactness;Astala, Kari;J. Funct. Anal.,1987

2. Oxford Mathematical Monographs;Edmunds, D. E.,1987

3. I. T. Gohberg, L. S. Goldenstein, and A. S. Markus, Investigation of some properties of bounded linear operators in connection with their 𝑞-norms, Uchen. Zap. Kishinev Gos. Univ. 29 (1957), 29-36. (Russian)

4. B. Gramsch, Über analytische störungen und den Index von Fredholm operatoren auf Banachraumen, Dept. of Mathematics, Univ. Maryland, 1969.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators;Acta Mathematica Sinica, English Series;2023-01-30

2. Quantities characterizing semi-Fredholm operators and perturbation radii;Journal of Mathematical Analysis and Applications;2012-06

3. Distortion of Banach spaces and supermultiplicative operational quantities;Journal of Mathematical Analysis and Applications;2010-03