Factorization versus invertibility of matrix functions on compact abelian groups

Alex Brudnyi, Leiba Rodman, Ilya Spitkovsky

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    Open problems are stated and some new results are proved concerning the relationship between invertibility and factorization in various Banach algebras of matrix-valued functions on connected compact abelian groups.

    Original languageEnglish (US)
    Title of host publicationA Panorama of Modern Operator Theory and Related Topics
    Subtitle of host publicationThe Israel Gohberg Memorial Volume
    PublisherSpringer Basel
    Pages225-239
    Number of pages15
    ISBN (Electronic)9783034802215
    ISBN (Print)9783034802208
    DOIs
    StatePublished - Jan 1 2012

    Fingerprint

    Invertibility
    Matrix Function
    Compact Group
    Banach algebra
    Abelian group
    Open Problems
    Factorization
    Relationships

    Keywords

    • Compact abelian groups
    • Factorization of Wiener-Hopf type
    • Function algebras

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Brudnyi, A., Rodman, L., & Spitkovsky, I. (2012). Factorization versus invertibility of matrix functions on compact abelian groups. In A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume (pp. 225-239). Springer Basel. https://doi.org/10.1007/978-3-0348-0221-5

    Factorization versus invertibility of matrix functions on compact abelian groups. / Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya.

    A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, 2012. p. 225-239.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Brudnyi, A, Rodman, L & Spitkovsky, I 2012, Factorization versus invertibility of matrix functions on compact abelian groups. in A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, pp. 225-239. https://doi.org/10.1007/978-3-0348-0221-5
    Brudnyi A, Rodman L, Spitkovsky I. Factorization versus invertibility of matrix functions on compact abelian groups. In A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel. 2012. p. 225-239 https://doi.org/10.1007/978-3-0348-0221-5
    Brudnyi, Alex ; Rodman, Leiba ; Spitkovsky, Ilya. / Factorization versus invertibility of matrix functions on compact abelian groups. A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, 2012. pp. 225-239
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