Locally flat Banach spaces

Johanis, Michal

Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 273-284

Abstract (VO)

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.

Détail

Classification : 46A03, 46B10, 46B20
Keywords: polyhedrality

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