Directional moduli of rotundity and smoothness

Michael O. Bartlett; John R. Giles; Jon D. Vanderwerff

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 1, page 39-51
  • ISSN: 0010-2628

Abstract

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We study various notions of directional moduli of rotundity and when such moduli of rotundity of power type imply the underlying space is superreflexive. Duality with directional moduli of smoothness and some applications are also discussed.

How to cite

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Bartlett, Michael O., Giles, John R., and Vanderwerff, Jon D.. "Directional moduli of rotundity and smoothness." Commentationes Mathematicae Universitatis Carolinae 40.1 (1999): 39-51. <http://eudml.org/doc/248440>.

@article{Bartlett1999,
abstract = {We study various notions of directional moduli of rotundity and when such moduli of rotundity of power type imply the underlying space is superreflexive. Duality with directional moduli of smoothness and some applications are also discussed.},
author = {Bartlett, Michael O., Giles, John R., Vanderwerff, Jon D.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform rotundity; uniform smoothness; moduli of power type; superreflexive; Banach space; equivalent norm; directional moduli of rotundity and smoothness},
language = {eng},
number = {1},
pages = {39-51},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Directional moduli of rotundity and smoothness},
url = {http://eudml.org/doc/248440},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Bartlett, Michael O.
AU - Giles, John R.
AU - Vanderwerff, Jon D.
TI - Directional moduli of rotundity and smoothness
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 1
SP - 39
EP - 51
AB - We study various notions of directional moduli of rotundity and when such moduli of rotundity of power type imply the underlying space is superreflexive. Duality with directional moduli of smoothness and some applications are also discussed.
LA - eng
KW - uniform rotundity; uniform smoothness; moduli of power type; superreflexive; Banach space; equivalent norm; directional moduli of rotundity and smoothness
UR - http://eudml.org/doc/248440
ER -

References

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