Additive maps preserving the ascent and descent of operators

被引：8

作者：

Bendaoud, M. ^{[1
]}

Sarih, M. ^{[1
]}

机构：

[1] Univ Moulay Ismail, Dept Math, Fac Sci, Meknes, Morocco

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 10期

关键词：

Ascent; Descent; Jordan isomorphism; Additive preservers;

D O I：

10.1016/j.laa.2009.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L(X)and L(Y) be the algebras of all bounded linear operators on infinite dimensional complex Banach spaces X and Y, respectively. We characterize additive maps from L(X) onto L(Y) preserving different quantities such as the nullity, the defect, the ascent, and the descent of operators. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1740 / 1744

页数：5

共 50 条

[31] ADDITIVE MAPS PRESERVING THE REDUCED MINIMUM MODULUS OF BANACH SPACE OPERATORS
Bourhim, Abdellatif
JOURNAL OF OPERATOR THEORY, 2012, 67 (01) : 279 - 288
[32] ASCENT AND DESCENT OF COMPOSITION OPERATORS ON l(p) SPACES
Chandra, Harish
Kumar, Pradeep
DEMONSTRATIO MATHEMATICA, 2010, 43 (01) : 161 - 165
[33] THEOREMS ON ASCENT DESCENT NULLITY AND DEFECT OF LINEAR OPERATORS
TAYLOR, AE
MATHEMATISCHE ANNALEN, 1966, 163 (01) : 18 - &
[34] Multivalued operators with finite essential ascent or essential descent and perturbations
Chafai, Ezzeddine
FILOMAT, 2024, 38 (06) : 1887 - 1900
[35] Semi-Fredholm operators with finite ascent or descent and perturbations
Rakocevic, V
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (12) : 3823 - 3825
[36] On orthogonally additive band operators and orthogonally additive disjointness preserving operators
Turan, Bahri
Tulu, Demet
TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (04) : 1258 - 1266
[37] Additive Maps Preserving Local Spectrum
Abdellatif Bourhim
Thomas Ransford
Integral Equations and Operator Theory, 2006, 55 : 377 - 385
[38] SPECTRUM-PRESERVING ADDITIVE MAPS
OMLADIC, M
SEMRL, P
LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 153 : 67 - 72
[39] Indefinite orthogonality preserving additive maps
Cui, JL
Hou, J
Park, CG
ARCHIV DER MATHEMATIK, 2004, 83 (06) : 548 - 557
[40] Indefinite orthogonality preserving additive maps
Jianlian Cui
Jinchuan Hou
Chun-Gil Park
Archiv der Mathematik, 2004, 83 : 548 - 557

← 1 2 3 4 5 →