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 50 条

[41] Fredholm, semi-Fredholm perturbations, and essential spectra
Latrach, K
Dehici, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) : 277 - 301
[42] On generalized semi B-Fredholm operators
O. García
O. Ferrer
C. Carpintero
J. Sanabria
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1729 - 1737
[43] Fredholm Perturbations and Seminorms Related to Upper Semi-Fredholm Perturbations
Abdelmoumen, Boulbeba
Baklouti, Hamadi
FILOMAT, 2013, 27 (06) : 1147 - 1155
[44] CLOSED FREDHOLM AND SEMI-FREDHOLM OPERATORS, ESSENTIAL SPECTRA AND PERTURBATIONS
WILLIAMS, V
JOURNAL OF FUNCTIONAL ANALYSIS, 1975, 20 (01) : 1 - 25
[45] On the Perturbation of Semi-Fredholm Relations with Complemented Ranges and Null Spaces
Teresa LVAREZ
Acta Mathematica Sinica(English Series), 2010, 26 (08) : 1545 - 1554
[46] On the perturbation of semi-Fredholm relations with complemented ranges and null spaces
Teresa Álvarez
Acta Mathematica Sinica, English Series, 2010, 26 : 1545 - 1554
[47] On the perturbation of semi-Fredholm relations with complemented ranges and null spaces
Alvarez, Teresa
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (08) : 1545 - 1554
[48] ON THE DEGREE FOR ORIENTED QUASI-FREDHOLM MAPS: ITS UNIQUENESS AND ITS EFFECTIVE EXTENSION OF THE LERAY-SCHAUDER DEGREE
Benevieri, Pierluigi
Calamai, Alessandro
Furi, Massimo
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 46 (01) : 401 - 430
[49] Semi B-Fredholm and semi B-Weyl spectrum under perturbations
Garcia, Orlando J.
Carpintero, Carlos R.
Rosas, Ennis R.
Sanabria, Jose E.
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2014, 20 (01): : 39 - 47
[50] Semi B-Fredholm and semi B-Weyl spectrum under perturbations
Orlando J. García
Carlos R. Carpintero
Ennis R. Rosas
José E. Sanabria
Boletín de la Sociedad Matemática Mexicana, 2014, 20 (1) : 39 - 47

← 1 2 3 4 5 →