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    Banach Algebras of Vector-Valued Functions


    Nickou, Azadeh and O'Farrell, Anthony G. (2014) Banach Algebras of Vector-Valued Functions. Glasgow Mathematical Journal, 56. pp. 419-426. ISSN 0017-0895

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    Abstract

    We introduce the concept of an E-valued function algebra, a type of Banach algebra that consist of continuous E-valued functions on some compact Hausdorff space, where E is a Banach algebra. We present some basic results about such algebras, having to do with the Shilov boundary and the set of peak points of some commutative E-valued function algebras. We give some specific examples.

    Item Type: Article
    Additional Information: This is the preprint version of the published article, which is available at DOI: 10.1017/S0017089513000359
    Keywords: Banach algebra; Function algebra; Shilov boundary; peak point; vector-valued;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6954
    Identification Number: https://doi.org/10.1017/S0017089513000359
    Depositing User: Prof. Anthony O'Farrell
    Date Deposited: 05 Feb 2016 14:03
    Journal or Publication Title: Glasgow Mathematical Journal
    Publisher: Cambridge University Press
    Refereed: Yes
    URI:

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