%0 Journal Article %T A new proof of Donoghue's interpolation theorem %A Yacin Ameur %J Journal of Function Spaces and Applications %D 2004 %I Hindawi Publishing Corporation %R 10.1155/2004/814683 %X We give a new proof and new interpretation of Donoghue's interpolation theorem; for an intermediate Hilbert space H∗ to be exact interpolation with respect to a regular Hilbert couple H¯ it is necessary and sufficient that the norm in H∗ be representable in the form ‖f‖∗=(∫[0,∞](1 %U http://www.hindawi.com/journals/jfsa/2004/814683/abs/