Non-linear isometries in Lipschitz free spaces
Loading...
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of mathematics and computer sciences Department of mathematics - Option : Functional analysis
Abstract
In the first chapter, we introduce preliminary notions about Lipschitz space,
and the properties of Lipschitz functions.
Then in the second chapter we present some fundamental results related to
the Lipschitzian operators on the free lipschitz space F (M) .
Finally in the last chapter we give some results about the non-linear isometries,
and the isometric universal shifting property (infinite shift space).
Description
Keywords
Free Lipschitz spaces, Metric separable space, convex sub-space, isometry, affine mapping, universal characteristic of the shifting property