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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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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; Jameson, Graham; Laustsen, Niels.
In: Journal of Operator Theory, Vol. 70, No. 1, 2013, p. 291-307.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Bird, A, Jameson, G & Laustsen, N 2013, 'The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space', Journal of Operator Theory, vol. 70, no. 1, pp. 291-307. https://doi.org/10.7900/jot.2011aug11.1936

APA

Bird, A., Jameson, G., & Laustsen, N. (2013). The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space. Journal of Operator Theory, 70(1), 291-307. https://doi.org/10.7900/jot.2011aug11.1936

Vancouver

Bird A, Jameson G, Laustsen N. The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space. Journal of Operator Theory. 2013;70(1):291-307. doi: 10.7900/jot.2011aug11.1936

Author

Bird, Alistair ; Jameson, Graham ; Laustsen, Niels. / The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space. In: Journal of Operator Theory. 2013 ; Vol. 70, No. 1. pp. 291-307.

Bibtex

@article{996e552da90e4c43867f6f86cf8e1c9b,
title = "The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space",
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.",
keywords = "Quasi-reflexive Banach space,, James space, finite representability of c0, closed operator ideal",
author = "Alistair Bird and Graham Jameson and Niels Laustsen",
year = "2013",
doi = "10.7900/jot.2011aug11.1936",
language = "English",
volume = "70",
pages = "291--307",
journal = "Journal of Operator Theory",
publisher = "Theta Foundation",
number = "1",

}

RIS

TY - JOUR

T1 - The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space

AU - Bird, Alistair

AU - Jameson, Graham

AU - Laustsen, Niels

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Quasi-reflexive Banach space,

KW - James space

KW - finite representability of c0

KW - closed operator ideal

U2 - 10.7900/jot.2011aug11.1936

DO - 10.7900/jot.2011aug11.1936

M3 - Journal article

VL - 70

SP - 291

EP - 307

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

ER -