Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series

被引：7

作者：

Albrecht, Amie R. ^{[1
]}

Howlett, Phil G. ^{[1
]}

Pearce, Charles E. M. ^{[2
]}

机构：

[1] Univ S Australia, Ctr Ind & Appl Math, Mawson Lakes, Australia

[2] Univ Adelaide, Sch Math Sci, Adelaide, SA, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 383卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Banach space; Complementary subspaces; Linear perturbation; Bounded linear operators; Laurent series; ANALYTIC MATRIX FUNCTIONS; HAMILTONIAN CYCLES; ORIGIN; PROGRAMS; SYSTEMS;

D O I：

10.1016/j.jmaa.2011.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a Laurent series representation, we present a detailed discussion of necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space that are singular in the unperturbed state. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：95 / 110

页数：16

共 4 条

[1] Laurent series for inversion of linearly perturbed bounded linear operators on Banach space
Howlett, Phil
Albrecht, Amie
Pearce, Charles
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 366 (01) : 112 - 123
[2] A Necessary and Sufficient Condition on Convergence of Bounded Linear Operators in the Space of Continuous Functions
Di Jizheng (Dept. of Math.
数学研究与评论, 1993, (04) : 539 - 540
[3] Necessary and Sufficient Conditions for the Invertibility of Piecewise-Autonomous Difference Operators in the Space of Bounded Two-Sided Sequences
Slyusarchuk V.Y.
Journal of Mathematical Sciences, 2021, 256 (5) : 663 - 688
[4] Necessary and sufficient conditions for the invertibility of the non-linear difference operator (Dx)(t) = x(t+1)-f(x(t)) in the space of bounded continuous functions on the real axis
Slyusarchuk, VE
SBORNIK MATHEMATICS, 2001, 192 (3-4) : 565 - 576

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