Drazin inversion in the von Neumann algebra generated by two orthogonal projections

A. Böttcher, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    Abstract

    Criteria for Drazin and Moore-Penrose invertibility of operators in the von Neumann algebra generated by two orthogonal projections are established and explicit representations for the corresponding inverses are given. The results are illustrated by several examples that have recently been considered in the literature.

    Original languageEnglish (US)
    Pages (from-to)403-409
    Number of pages7
    JournalJournal of Mathematical Analysis and Applications
    Volume358
    Issue number2
    DOIs
    StatePublished - Oct 15 2009

    Fingerprint

    Orthogonal Projection
    Invertibility
    Von Neumann Algebra
    Algebra
    Mathematical operators
    Inversion
    Operator

    Keywords

    • Drazin inverse
    • Moore-Penrose inverse
    • Orthogonal projection
    • von Neumann algebra

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Drazin inversion in the von Neumann algebra generated by two orthogonal projections. / Böttcher, A.; Spitkovsky, Ilya.

    In: Journal of Mathematical Analysis and Applications, Vol. 358, No. 2, 15.10.2009, p. 403-409.

    Research output: Contribution to journalArticle

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