Locally flat Banach spaces

Michal Johanis

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 1, page 273-284
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Johanis, Michal. "Locally flat Banach spaces." Czechoslovak Mathematical Journal 59.1 (2009): 273-284. <http://eudml.org/doc/37922>.

@article{Johanis2009,
abstract = {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.},
author = {Johanis, Michal},
journal = {Czechoslovak Mathematical Journal},
keywords = {polyhedrality},
language = {eng},
number = {1},
pages = {273-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Locally flat Banach spaces},
url = {http://eudml.org/doc/37922},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Johanis, Michal
TI - Locally flat Banach spaces
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 273
EP - 284
AB - 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.
LA - eng
KW - polyhedrality
UR - http://eudml.org/doc/37922
ER -

References

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