%0 Journal Article %A Cobos, Fernando %A Schonbek, Tomas %T On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual %D 1998 %@ 0362-1588 %U https://hdl.handle.net/20.500.14352/57254 %X We show that if the duality between a Banach space A andits 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. %~