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    A note on operator tuples which are (m, p)-isometric as well as (μ,∞)-isometric


    Hoffmann, Philipp H.W. (2015) A note on operator tuples which are (m, p)-isometric as well as (μ,∞)-isometric. Working Paper. arXiv.

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    Abstract

    We show that if a tuple of commuting, bounded linear operators (T1, ..., Td) 2 B(X)d is both an (m, p)-isometry and a (μ,1)-isometry, then the tuple (Tm 1 , ..., Tm d ) is a (1, p)-isometry. We further prove some additional properties of the operators T1, ..., Td and show a stronger result in the case of a commuting pair (T1, T2).

    Item Type: Monograph (Working Paper)
    Keywords: operator tuple; normed space; Banach space; m-isometry; (m, p)-isometry; (m,∞)-isometry;
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Item ID: 6569
    Identification Number: arXiv:1508.00916
    Depositing User: Philipp Hoffmann
    Date Deposited: 11 Nov 2015 15:15
    Publisher: arXiv
    URI:

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