Perturbation theory of lower semi-Browder multivalued linear operators

被引：33

作者：

Fakhfakh, Fatma ^{[1
]}

Mnif, Maher ^{[1
]}

机构：

[1] Univ Sfax, Dept Math, Fac Sci Sfax, Sfax 3000, Tunisia

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2011年 / 78卷 / 3-4期

关键词：

semi-Fedholm linear relations; lower semi-Browder linear relations and Browder's essential defect spectrum; DESCENT; ASCENT; STABILITY; DEFECT;

D O I：

10.5486/PMD.2011.4799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

in the present paper we introduce the notion of lower semi-Browder linear relation and we study the perturbation problem under compact operator perturbations.

引用

页码：595 / 606

页数：12

共 25 条

[1] Agarwal R. P., 2001, CAMB TRACT MATH, V141
[2] Alvarez T, 2004, PUBL MATH-DEBRECEN, V65, P179
[3] Quantities related to upper and lower semi-Fredholm type linear relations
Alvarez, T
Cross, R
Wilcox, D
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (02) : 275 - 289
[4] Multivalued Fredholm type operators with abstract generalised inverses
Alvarez, T
Cross, RW
Wilcox, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (01) : 403 - 417
[5] Perturbation theory of multivalued Atkinson operators in normed spaces
Alvarez, Teresa
Wilcox, Diane
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (02) : 195 - 204
[6] [Anonymous], 1994, COLLECT MATH
[7] ARENS R, 1961, PACIFIC J MATH, V11
[8] Coddington E. A., 1971, LECT NOTES MATH, V183
[9] SELF-ADJOINT SUBSPACES AND EIGENFUNCTION EXPANSIONS FOR ORDINARY DIFFERENTIAL SUBSPACES
CODDINGTON, EA
DIJKSMA, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 20 (02) : 473 - 526
[10] Cross R., 1998, Multivalued linear operators

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