On the geometry of Banach spaces with modulus of convexity of power type 2

M. Ivanov; A. J. Pallares; S. Troyanski

Studia Mathematica (2010)

  • Volume: 197, Issue: 1, page 81-91
  • ISSN: 0039-3223

Abstract

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We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.

How to cite

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M. Ivanov, A. J. Pallares, and S. Troyanski. "On the geometry of Banach spaces with modulus of convexity of power type 2." Studia Mathematica 197.1 (2010): 81-91. <http://eudml.org/doc/285481>.

@article{M2010,
abstract = {We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.},
author = {M. Ivanov, A. J. Pallares, S. Troyanski},
journal = {Studia Mathematica},
keywords = {Banach space geometry; moduli of convexity and smoothness; Banach-Mazur distance},
language = {eng},
number = {1},
pages = {81-91},
title = {On the geometry of Banach spaces with modulus of convexity of power type 2},
url = {http://eudml.org/doc/285481},
volume = {197},
year = {2010},
}

TY - JOUR
AU - M. Ivanov
AU - A. J. Pallares
AU - S. Troyanski
TI - On the geometry of Banach spaces with modulus of convexity of power type 2
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 1
SP - 81
EP - 91
AB - We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.
LA - eng
KW - Banach space geometry; moduli of convexity and smoothness; Banach-Mazur distance
UR - http://eudml.org/doc/285481
ER -

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