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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 journalJournal article

Forthcoming

Journal publication date2014
JournalJournal of Operator Theory
Number of pages16
Original languageEnglish

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 (l1⊕l2⊕...⊕ln⊕...)lp of Jp.