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    On the second parameter of an (m, p)-isometry


    Hoffmann, Philipp and Mackey, Michael and Ó Searcóid, Mícheál (2011) On the second parameter of an (m, p)-isometry. Working Paper. arXiv.org.

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    Abstract

    A bounded linear operator T on a Banach space X is called an (m, p)-isometry if it satisfies the equation ∑mk=0(−1)k(mk)||p=0, for all x ∈ X. In this paper we study the structure which underlies the second parameter of (m, p)-isometric operators. We concentrate on determining when an (m, p)-isometry is a (μ, q)-isometry for some pair (μ, q). We also extend the definition of (m, p)-isometry, to include p = ∞ and study basic properties of these (m,∞)-isometries.

    Item Type: Monograph (Working Paper)
    Additional Information: Preprint article available at DOI: 10.1007/s00020-011-1905-0 Cite as arXiv:1106.0339 [math.FA]
    Keywords: Banach space; operator; m-isometry; (m, p)-isometry;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 5858
    Identification Number: https://doi.org/10.1007/s00020-011-1905-0
    Depositing User: Philipp Hoffmann
    Date Deposited: 18 Feb 2015 15:34
    Publisher: arXiv.org
    URI:

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