Bouaziz, Haneen2021-07-142021-07-142021https://repository.univ-msila.dz/handle/123456789/24979The 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.enLinear operator ideals, compact operator, Unconditionally p-summable sequences, Classical p-compact operator.The ideal of classical p-compact operators and its injective hullThesis