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    (m, p)-isometric and (m,∞)-isometric operator tuples on normed spaces


    Hoffmann, Philipp H.W. and Mackey, Michael (2013) (m, p)-isometric and (m,∞)-isometric operator tuples on normed spaces. Working Paper. UNSPECIFIED. (Unpublished)

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    Abstract

    We generalize the notion of m-isometric operator tuples on Hilbert spaces in a natural way to operator tuples on normed spaces. This is done by defining a tuple analogue of (m, p)-isometric operators, so-called (m, p)-isometric operator tuples. We then extend this definition further by introducing (m,1)-isometric operator tuples and study properties of and relations between these objects.

    Item Type: Monograph (Working Paper)
    Additional Information: Preprint available at http://arxiv.org/abs/1212.5616
    Keywords: normed space; Banach space; operator tuple; m-isometry; (m, p)-isometry; (m,∞)-isometry; generalised isometry;
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Item ID: 5033
    Depositing User: CS Editor
    Date Deposited: 20 Jun 2014 14:10
    Refereed: No
    URI:

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