On numerical ranges and roots

Chi Kwong Li, Leiba Rodman, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    Abstract

    Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.

    Original languageEnglish (US)
    Pages (from-to)329-340
    Number of pages12
    JournalJournal of Mathematical Analysis and Applications
    Volume282
    Issue number1
    DOIs
    StatePublished - Jun 1 2003

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    Numerical Range
    Algebra
    Roots
    Fractional Powers
    Banach algebra

    Keywords

    • Hermitian Banach algebra
    • Numerical range
    • Root

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    On numerical ranges and roots. / Li, Chi Kwong; Rodman, Leiba; Spitkovsky, Ilya.

    In: Journal of Mathematical Analysis and Applications, Vol. 282, No. 1, 01.06.2003, p. 329-340.

    Research output: Contribution to journalArticle

    Li, Chi Kwong ; Rodman, Leiba ; Spitkovsky, Ilya. / On numerical ranges and roots. In: Journal of Mathematical Analysis and Applications. 2003 ; Vol. 282, No. 1. pp. 329-340.
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