Banach spaces of Lipschitz functions
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Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Functional Analysis
Abstract
In this work, we tackle Lipschitz space Lip0 (X), that X is a pointed metric space, and it is
dual. We study the preduals Æ(X) and F (X), that are isometrics in addition to its properties.
Then we study the space lip0 (X), which is under certain conditions of X is a predual of
Æ(X). We end this work, by introducing B-Lipschitz summing operators.