Free Banach Spaces
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITE MOHAMED BOUDIAF - M’SILA- FACULTE MATHEMATIQUES ET DE L’INFORMATIQUE
Abstract
Let X a pointed metric space, and Lip(X) the Lipschitz space. By the theorem of
Diximer Lip0
(X) = X#
is a dual. We are built the space of Arens Eells Æ(X) which is the
predual of X#
. Then we are interested in the other construction due to Johnson who is
noted by Godfroy and Kalton by F(X). We ending this memory by proof that Æ(X) ≡ F(X )
by Pestov’s theorem.
Description
Keywords
Metric pointed, Arens Eells space, Lipschitz space , free Lipschitz space.