Functions locally dependent on finitely many coordinates.

Petr Hájek; Václav Zizler

RACSAM (2006)

  • Volume: 100, Issue: 1-2, page 147-154
  • ISSN: 1578-7303

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 smoothness (C∞) is involved. In this note we survey most of the main results in this area, and indicate many old as well as new open problems.

How to cite

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Hájek, Petr, and Zizler, Václav. "Functions locally dependent on finitely many coordinates.." RACSAM 100.1-2 (2006): 147-154. <http://eudml.org/doc/41648>.

@article{Hájek2006,
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 smoothness (C∞) is involved. In this note we survey most of the main results in this area, and indicate many old as well as new open problems.},
author = {Hájek, Petr, Zizler, Václav},
journal = {RACSAM},
language = {eng},
number = {1-2},
pages = {147-154},
title = {Functions locally dependent on finitely many coordinates.},
url = {http://eudml.org/doc/41648},
volume = {100},
year = {2006},
}

TY - JOUR
AU - Hájek, Petr
AU - Zizler, Václav
TI - Functions locally dependent on finitely many coordinates.
JO - RACSAM
PY - 2006
VL - 100
IS - 1-2
SP - 147
EP - 154
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 smoothness (C∞) is involved. In this note we survey most of the main results in this area, and indicate many old as well as new open problems.
LA - eng
UR - http://eudml.org/doc/41648
ER -

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