The notion of (p, r)-compactness
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Date
2019
Authors
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Publisher
UNIVERSITE MOHAMED BOUDIAF - M’SILA FACULTE DES MATHEMATIQUES ET DE L’INFORMATIQUE
Abstract
bstract
In this work we will interest by the notion of relatively compact sets, we go on to
study the space of ( p ,r )-compact operators and describe its structure as an operator
ideal. We introduce the concept of Lipschitz ( p ,r )-compact operators. We show
that can be seen as a natural extension of the linear case and we transfer some
properties of the linear case into the Lipschitz setting.
Description
Keywords
Compact operators, ( p ,r )-compact operators, Ideal operators, Lipschitz p-compact operators, Relatively ( p ,r )-compact subsets.