1. Locally flat Banach spaces
- Creator:
- Johanis, Michal
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- math and polyhedrality
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public