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On the Reflexivity of the Space {pi}p(E, F) of p-Absolutely Summing Operators, 1 <= p < + {infty}
Authors:Aharoni  Ron; Saphar  Pierre David
Institution:Department of Mathematics, TECHNION, Israel Institute of Technology Haifa 32000, Israel
Abstract:We give a representation of the dual of the space {pi}p(E,F) ofp-absolutely summing operators (1 ≤ p < + {infty}) under certainconditions on E and F. One deduces that the space {pi}p(E, F), 1≤ p < + {infty}, is reflexive if and only if E and F are reflexive.We improve results of Gordon, Lewis, Retherford and Saphar.
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