Approximation properties in terms of Lipschitz maps
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Date
2023-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of M'sila
Abstract
In this work , we dealt with one of the most important topics of functional analysis, which
is the approximation properties related to the ideals of Lipschitz and linear operators.. We
have tried, as much as possible , with a very modest effort to become familiar with the most
important definitions, theorems and properties of all chapters of this memory . In the first
chapter, we recall briefly the space of Lipschitz functions, Arens–Eells and Lipschitz operator
ideals. Chapter two devoted to study the approximation property for Banach spaces. The
third chapter devoted to study the approximation property for Lipschitz operator ideals.
Description
Keywords
Arens–Eells space,Finite rank operator, Lipschitz mapping, Lipschitz operator ideal, the approximation property for Lipshitz operator ideals.