Quasi-normed operator ideals on Banach spaces and interpolation


Dobrinca Mihailov, Ilie Stan




We prove that applying real methods of interpolation, more exactly the $K$-method, to the couples and triples of quasi-normed operator ideals on the Banach space, new operator ideals are obtained. Extending the results of C. Bennett and R. Sharpley (see [1]) from the function spaces to ideals, we present a variant of reiteration theorem for the couples of quasi-normed operator ideals.