# Some more weak Hubert spaces

Studia Mathematica (1991)

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

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topEdgington, 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

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

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