Browsing by Author "BOUATIA, Salim"

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    Free Banach Spaces
    (UNIVERSITE MOHAMED BOUDIAF - M’SILA- FACULTE MATHEMATIQUES ET DE L’INFORMATIQUE, 2019) BOUATIA, Salim
    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.