Geodesic
Locally flat Banach spaces
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 273-284.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates.
Classification : 46A03, 46B10, 46B20
Keywords: polyhedrality 
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     author = {Johanis, Michal},
     title = {Locally flat {Banach} spaces},
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     pages = {273--284},
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Johanis, Michal. Locally flat Banach spaces. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 273-284. http://geodesic.mathdoc.fr/item/CMJ_2009__59_1_a18/