Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols

Leiba Rodman, Ilya Spitkovsky, Hugo J. Woerdeman

    Research output: Contribution to journalArticle

    Abstract

    We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.

    Original languageEnglish (US)
    Pages (from-to)1365-1370
    Number of pages6
    JournalProceedings of the American Mathematical Society
    Volume130
    Issue number5
    DOIs
    StatePublished - Jan 1 2002

    Fingerprint

    Fredholmness
    Toeplitz Operator
    Invertibility
    Almost Periodic
    Mathematical operators
    Matrix Function
    Several Variables
    Periodic Functions
    Invertible
    If and only if

    Keywords

    • Almost periodic functions
    • Fredholmness
    • Toeplitz operators

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols. / Rodman, Leiba; Spitkovsky, Ilya; Woerdeman, Hugo J.

    In: Proceedings of the American Mathematical Society, Vol. 130, No. 5, 01.01.2002, p. 1365-1370.

    Research output: Contribution to journalArticle

    Rodman, Leiba ; Spitkovsky, Ilya ; Woerdeman, Hugo J. / Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols. In: Proceedings of the American Mathematical Society. 2002 ; Vol. 130, No. 5. pp. 1365-1370.
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