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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