The ideal of classical p-compact operators and its injective hull
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Date
2021
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Publisher
University of M'Sila
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.
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Keywords
Linear operator ideals, compact operator, Unconditionally p-summable sequences, Classical p-compact operator.