The Giesy James theorem for general index p, with an application to operator ideals on the p James space
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چکیده
A theorem of Giesy and James states that c0 is nitely representable in James' quasire exive Banach space J2. We extend this theorem to the p th quasi-re exive 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 (`∞ ⊕ `∞ ⊕ · · · ⊕ `∞ ⊕ · · · )`p of Jp. 2010 Mathematics Subject Classi cation: Primary 46B45, 47L20; Secondary 46B07, 46H10, 47L10.
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