Publication: On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual
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1998
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University of Houston
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Abstract
We show that if the duality between a Banach space A and
its anti-dual A* is given by the inner product of a Hilbert space H, then (A, A*)1/2,2 = H = (A,A*)[l,2~, provided A satisfies certain mild conditions. We do not assume A is reflexive. Applications are given to normed ideals of operators.