A tree-like Tsirelson space.
Gideon Schechtman
Source: Pacific J. Math. Volume 83, Number 2
(1979), 523-530.
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46B20
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102784527
Zentralblatt MATH identifier: 0414.46014
Zentralblatt MATH identifier: 0373.46030
Mathematical Reviews number (MathSciNet): MR557950
References
[1] T. Figiel and W. B. Johnson, A uniformlyconvex Banach space which contains no lp, Compositio Math., 29 (1974), 179-190.
Mathematical Reviews (MathSciNet): MR50:8011
Zentralblatt MATH: 0301.46013
[2] R. C. James, Bases and reflexivity of Banach spaces, Ann. of Math., 52 (1950), 518-527.
Mathematical Reviews (MathSciNet): MR12:616b
Zentralblatt MATH: 0039.12202
[2] R. C. James, Uniformly non-square Banach spaces, Ann. of Math., 80 (1964),542-571.
Mathematical Reviews (MathSciNet): MR30:4139
Zentralblatt MATH: 0132.08902
[4] J. Lindenstrauss, Notes on Klee's paper, "Polyhedral sections of convex bodies," Israel J. Math., 4 (1966),235-242.
Mathematical Reviews (MathSciNet): MR35:703
Zentralblatt MATH: 0148.11301
[5] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Springer Verlag, Lecture notes 338, 1973.
Mathematical Reviews (MathSciNet): MR54:3344
Zentralblatt MATH: 0259.46011
[6] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Vol. 1 Sequence spaces, Springer Verlag, Berlin.
Mathematical Reviews (MathSciNet): MR58:17766
[7] A. Pelczynski, Projections in certain Banach spaces, Studia Math., 19 (1960), 209-228.
Mathematical Reviews (MathSciNet): MR23:A3441
Zentralblatt MATH: 0104.08503
[8] W. Szlenk, The non-existence of a separable reflexive Banach space universalfor all separable reflexive Banach spaces, Studia Math., 30 (1968), 53-61.
Mathematical Reviews (MathSciNet): MR37:3327
Zentralblatt MATH: 0169.15303
[9] B. S. Tsirelson, Not every Banach space contains lp or Co, Funct. Ann. and its application, 8 (1974), 138-141, (translated from Russian).
Pacific Journal of Mathematics
