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The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space

Bird, Alistair and Jameson, Graham and Laustsen, Niels (2014) The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space. Journal of Operator Theory. (In Press)

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    Abstract

    A theorem of Giesy and James states that c0 is finitely representable in James' quasi-reflexive Banach space J2. We extend this theorem to the pth quasi-reflexive James space Jp for each p∈(1,∞). As an application, we obtain a new closed ideal of operators on Jp, namely the closure of the set of operators that factor through the complemented subspace (l∞1⊕l∞2⊕...⊕l∞n⊕...)lp of Jp.

    Item Type: Article
    Journal or Publication Title: Journal of Operator Theory
    Uncontrolled Keywords: Quasi-reflexive Banach space, ; James space ; finite representability of c0 ; closed operator ideal
    Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 52191
    Deposited By: ep_importer_pure
    Deposited On: 21 Dec 2011 10:26
    Refereed?: Yes
    Published?: In Press
    Last Modified: 24 Jan 2014 05:24
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/52191

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