Cobos Díaz, FernandoSchonbek, Tomas2023-06-202023-06-2019980362-1588https://hdl.handle.net/20.500.14352/57254We 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.engOn a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dualjournal articlehttp://math.uh.edu/~hjm/pdf24(2)/07COBOS.pdfhttp://www.mathematics.uh.edu/restricted access519.6Banach spaceHilbert spaceAnálisis numérico1206 Análisis Numérico