Some more weak Hubert spaces

• Autorzy: Alec Edgington
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46C99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991
• Tom: 100
• Numer: 1
• Strony: 1-11

Daty

wydano

1991

otrzymano

1990-01-19

poprawiono

1990-12-07

Twórcy

autor

Alec Edgington

• Trinity College, Cambridge, U.K.

Bibliografia

• [0] P. G. Casazza and T. J. Shura, Tsirelson's Space, Springer, 1989.
• [1] W. B. Johnson, A reflexive Banach space which is not sufficiently Euclidean, Studia Math. 55 (1976), 201-205.
• [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.
• [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.