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