%0 Book Section %T On some operator ideals defined by approximation numbers publisher Cambridge University Press %D 1989 %U 9780521367523 %@ https://hdl.handle.net/20.500.14352/60759 %X The authors prove a representation theorem in terms of finite rank operators for operators“T on Banach spaces which satisfy sup n2N (log n) an(T) < 1, 0 < < 1.Here an(T) denote the approximation numbers. The theorem is in formal analogy to the Lp-type theorem for approximation number ideals. %~