Quasi-Fredholm and Semi-B-Fredholm Linear Relations

被引：9

作者：

Alvarez, Teresa ^{[1
]}

机构：

[1] Univ Oviedo, Dept Math, Oviedo Asturias 33007, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 01期

关键词：

Quasi-Fredholm linear relation; semi-B-Fredholm linear relation; polynomial spectral mapping theorem; SPECTRA; PERTURBATION; OPERATORS;

D O I：

10.1007/s00009-016-0828-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quasi-Fredholm and semi-B-Fredholm linear relations in Banach spaces are defined in terms of conditions on their ranges and null spaces. We analyze the behavior of the powers of such linear relations and prove that these classes of linear relations define a spectrum that satisfies the polynomial spectral mapping property. Our results are used to calculate the quasi-Fredholm and the semi-B-Fredholm spectra of some linear relations.

引用

页数：26

共 33 条

[31] Some basic properties of polynomials in a linear relation in linear spaces
Sandovici, Adrian
[J]. Operator Theory in Inner Product Spaces, 2007, 175 : 231 - 240
[32] Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
Sandovici, Adrian
de Snoo, Henk
Winkler, Henrik
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (2-3) : 456 - 497
[33] An index formula for the product of linear relations
Sandovici, Adrian
de Snoo, Henk
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (11) : 2160 - 2171

← 1 2 3 4 →