L p spaces]]>

摘要

Abstract We study the interpolation and extrapolation properties of strictly singular operators between different L p spaces. To this end, the structure of strictly singular non-compact operators between L p ? L q spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators. ]]>