The ideal of classical p-compact operators and its injective hull

Abstract

The aim of this work is a detail study of the Banach ideal of continuous linear operators, between Banach spaces, factorized compactly through ℓp, called classical p-compact. We present a discussion of some properties for the injective hull of this ideal and relate this work to the classes of unconditionally p-compact and quasi unconditionally p-nuclear operators.