Injective and surjective hulls of classical p-compact operators with application to unconditionally p-compact operators

Abstract

The purpose of this paper is to present a brief discussion of some properties of the injective and surjective hulls of the Banach operator ideal of classical p-compact operators and to relate these ideals to the classes of unconditionally p-compact and quasi unconditionally p-nuclear operators that were introduced and studied by J. M. Kim [Studia Math. 224 (2014), 133{142]