Perturbation analysis for the Moore-Penrose metric generalized inverse of closed linear operators in banach spaces

Fapeng Du, Jianlong Chen, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

In this paper, we characterize the perturbations of the Moore-Penrose metric generalized inverse of closed operator in Banach spaces. Under the condition R(δT) ⊂ R(T), N(T) ⊂ N(δT), respectively, we get some new results about upper-bound estimates of (norm of matrix) and TM(norm of matrix) and (norm of matrix) TM - TM(norm of matrix).

Original languageEnglish (US)
Pages (from-to)240-253
Number of pages14
JournalAnnals of Functional Analysis
Volume7
Issue number2
DOIs
StatePublished - Jan 1 2016

Fingerprint

Closed Operator
Perturbation Analysis
Generalized Inverse
Linear Operator
Banach space
Norm
Metric
Upper bound
Perturbation
Estimate

Keywords

  • Banach space
  • Closed operator
  • Moore-Penrose metric generalized inverse

ASJC Scopus subject areas

  • Analysis
  • Control and Optimization

Cite this

Perturbation analysis for the Moore-Penrose metric generalized inverse of closed linear operators in banach spaces. / Du, Fapeng; Chen, Jianlong; Spitkovsky, Ilya.

In: Annals of Functional Analysis, Vol. 7, No. 2, 01.01.2016, p. 240-253.

Research output: Contribution to journalArticle

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