Clarkson type inequalities and their relations to the concepts of type and cotype.

Kato, Mikio, Persson, Lars-Erik., and Takahashi, Yasuji. "Clarkson type inequalities and their relations to the concepts of type and cotype.." Collectanea Mathematica 51.3 (2000): 327-346. <http://eudml.org/doc/41638>.

@article{Kato2000,
abstract = {We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize several classical and some recent results of this type.},
author = {Kato, Mikio, Persson, Lars-Erik., Takahashi, Yasuji},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Desigualdades; Banach space; random Clarkson inequality; type; cotype; uniform convexity; general Clarkson inequality},
language = {eng},
number = {3},
pages = {327-346},
title = {Clarkson type inequalities and their relations to the concepts of type and cotype.},
url = {http://eudml.org/doc/41638},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Kato, Mikio
AU - Persson, Lars-Erik.
AU - Takahashi, Yasuji
TI - Clarkson type inequalities and their relations to the concepts of type and cotype.
JO - Collectanea Mathematica
PY - 2000
VL - 51
IS - 3
SP - 327
EP - 346
AB - We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize several classical and some recent results of this type.
LA - eng
KW - Espacios de Banach; Desigualdades; Banach space; random Clarkson inequality; type; cotype; uniform convexity; general Clarkson inequality
UR - http://eudml.org/doc/41638
ER -