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ArticleOriginal scientific text

Title

Some more weak Hubert spaces

Authors 1

Affiliations

  1. Trinity College, Cambridge, U.K.

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.

Bibliography

  1. P. G. Casazza and T. J. Shura, Tsirelson's Space, Springer, 1989.
  2. W. B. Johnson, A reflexive Banach space which is not sufficiently Euclidean, Studia Math. 55 (1976), 201-205.
  3. J. Lindenstrauss and L. Tzafrim, Classical Banach Spaces II, Springer, 1979.
  4. V. D. Milman and G. Pisier, Banach spaces with a weak cotype 2 property, Israel J. Math. 54 (1986), 139-158.
  5. G. Pisier, Weak Hilbert spaces, Proc. London Math. Soc. 56 (1988), 547-579.
  6. G. Pisier, The Volume of Convex Bodies and Banach Space Geometry, Cambridge Univ. Press, 1989.
Studia Mathematica
1991/100/1
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Pages:
1-11
Main language of publication
English
Received
1990-01-19
Accepted
1990-12-07
Published
1991
Exact and natural sciences