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A new perturbation theorem for Moore-Penrose metric generalized inverse of bounded linear operators in Banach spaces
- Source :
- Acta Mathematica Scientia. 37:1619-1631
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is “the generalized Neumann lemma” which is quite different from the method in [12] where “the generalized Banach lemma” was used. By the method of the perturbation analysis of bounded linear operators, we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces.
- Subjects :
- Unbounded operator
Discrete mathematics
Approximation property
General Mathematics
010102 general mathematics
Eberlein–Šmulian theorem
MathematicsofComputing_NUMERICALANALYSIS
General Physics and Astronomy
010103 numerical & computational mathematics
Finite-rank operator
Operator theory
01 natural sciences
Bounded operator
0101 mathematics
C0-semigroup
Bounded inverse theorem
Mathematics
Subjects
Details
- ISSN :
- 02529602
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Scientia
- Accession number :
- edsair.doi...........ca887d89cd1870bb354d44da65742088