Some more weak Hubert spaces

Alec Edgington

Studia Mathematica (1991)

  • Volume: 100, Issue: 1, page 1-11
  • ISSN: 0039-3223

Abstract

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We construct, by a variation of the method used to construct the Tsirelson spaces, a new family of weak Hilbert spaces which contain copies of l₂ inside every subspace.

How to cite

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Edgington, Alec. "Some more weak Hubert spaces." Studia Mathematica 100.1 (1991): 1-11. <http://eudml.org/doc/215870>.

@article{Edgington1991,
abstract = {We construct, by a variation of the method used to construct the Tsirelson spaces, a new family of weak Hilbert spaces which contain copies of l₂ inside every subspace.},
author = {Edgington, Alec},
journal = {Studia Mathematica},
keywords = {proportional uniform approximation property; weakly Hilbert spaces; Tsirelson space},
language = {eng},
number = {1},
pages = {1-11},
title = {Some more weak Hubert spaces},
url = {http://eudml.org/doc/215870},
volume = {100},
year = {1991},
}

TY - JOUR
AU - Edgington, Alec
TI - Some more weak Hubert spaces
JO - Studia Mathematica
PY - 1991
VL - 100
IS - 1
SP - 1
EP - 11
AB - We construct, by a variation of the method used to construct the Tsirelson spaces, a new family of weak Hilbert spaces which contain copies of l₂ inside every subspace.
LA - eng
KW - proportional uniform approximation property; weakly Hilbert spaces; Tsirelson space
UR - http://eudml.org/doc/215870
ER -

References

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  1. [0] P. G. Casazza and T. J. Shura, Tsirelson's Space, Springer, 1989. Zbl0709.46008
  2. [1] W. B. Johnson, A reflexive Banach space which is not sufficiently Euclidean, Studia Math. 55 (1976), 201-205. Zbl0362.46015
  3. [2] J. Lindenstrauss and L. Tzafrim, Classical Banach Spaces II, Springer, 1979. 
  4. [3] V. D. Milman and G. Pisier, Banach spaces with a weak cotype 2 property, Israel J. Math. 54 (1986), 139-158. Zbl0611.46022
  5. [4] G. Pisier, Weak Hilbert spaces, Proc. London Math. Soc. 56 (1988), 547-579. 
  6. [5] G. Pisier, The Volume of Convex Bodies and Banach Space Geometry, Cambridge Univ. Press, 1989. Zbl0698.46008

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