A uniformly convex Banach space which contains no
Compositio Mathematica (1974)
- Volume: 29, Issue: 2, page 179-190
- ISSN: 0010-437X
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topFigiel, T., and Johnson, W. B.. "A uniformly convex Banach space which contains no $l_p$." Compositio Mathematica 29.2 (1974): 179-190. <http://eudml.org/doc/89232>.
@article{Figiel1974,
author = {Figiel, T., Johnson, W. B.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {179-190},
publisher = {Noordhoff International Publishing},
title = {A uniformly convex Banach space which contains no $l_p$},
url = {http://eudml.org/doc/89232},
volume = {29},
year = {1974},
}
TY - JOUR
AU - Figiel, T.
AU - Johnson, W. B.
TI - A uniformly convex Banach space which contains no $l_p$
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 29
IS - 2
SP - 179
EP - 190
LA - eng
UR - http://eudml.org/doc/89232
ER -
References
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- [2] M.M. Day: Some more uniformly convex spaces. Bull. Amer. Math. Soc.47 (1941) 504-507. Zbl0027.11003MR4068JFM67.0402.03
- [3] E. Dubinsky, A. Pelczynski, and H.P. Rosenthal: On Banach spaces X for which π2(£∞, X) = B(£∞, X). Studia Math.44 (1972) 617-648. Zbl0262.46018
- [4] P. Enflo: Banach spaces which can be given an equivalent uniformly convex norm. Israel J. Math.13 (1972) 281-288. Zbl0259.46012MR336297
- [5] P. Enflo and H.P. Rosenthal: Some results concerning LP(μ) spaces. J. Functional Anal.14 (1973) 325-348. Zbl0265.46032
- [6] T. Figiel: An example of an infinite dimensional Banach space non-isomorphic to its Cartesian square. Studia Math.42 (1972) 295-306. Zbl0213.12801MR306875
- [7] R.C. James: Uniformly non-square Banach spaces. Ann. of Math.80 (1964) 542-550. Zbl0132.08902MR173932
- [8] W.B. Johnson: On finite dimensional subspaces of Banach spaces with local unconditional structure. Studia Math.51 (1974). Zbl0301.46012MR358306
- [9] B. Maurey: Théorémes de factorisation pour les opérateurs linéaires á valeurs dans les espaces Lp. Société Mathématique de France (1974). Zbl0278.46028MR344931
- [10] H.P. Rosenthal: On subspaces of Lp. Ann. of Math.97 (1973) 344-373. Zbl0253.46049MR312222
- [11] B.S. Tsirelson: Not every Banach space contains lp or c0.
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- Julio Bernués, Javier Pascual, On total incomparability of mixed Tsirelson spaces
- T. Figiel, Uniformly convex norms in spaces with unconditional basis
- Boban Veličković, A note on Tsirelson type ideals
- Robert Judd, A dichotomy on Schreier sets
- Richard Haydon, Subspaces of the Bourgain-Delbaen space
- Vassiliki Farmaki, On spreading -sequences in Banach spaces
- B. Maurey, G. Schechtman, Some remarks on symmetric basic sequences in L1
- W. B. Johnson, Operators into which factor through
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