A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2

Peter G. Casazza; Niels J. Nielsen

Studia Mathematica (2003)

  • Volume: 157, Issue: 1, page 1-16
  • ISSN: 0039-3223

Abstract

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We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.

How to cite

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Peter G. Casazza, and Niels J. Nielsen. "A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2." Studia Mathematica 157.1 (2003): 1-16. <http://eudml.org/doc/285121>.

@article{PeterG2003,
abstract = {We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.},
author = {Peter G. Casazza, Niels J. Nielsen},
journal = {Studia Mathematica},
keywords = {weak cotype 2},
language = {eng},
number = {1},
pages = {1-16},
title = {A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2},
url = {http://eudml.org/doc/285121},
volume = {157},
year = {2003},
}

TY - JOUR
AU - Peter G. Casazza
AU - Niels J. Nielsen
TI - A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2
JO - Studia Mathematica
PY - 2003
VL - 157
IS - 1
SP - 1
EP - 16
AB - We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.
LA - eng
KW - weak cotype 2
UR - http://eudml.org/doc/285121
ER -

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