Book Review
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MathSciNet review:
1567934
Full text of review:
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Book Information:
Author:
D. van Dulst
Title:
$l^1$ Characterization of Banach Spaces not containing
Additional book information:
Centrum voor Wiskunde en Informatica, Amsterdam 1989, iv + 163 pp. ISBN 90-6196-366-4.
[F-S] D. Fremlin and S. Shelah, Pointwise compact and stable sets of measurable functions, manuscript, 1990.
N. Ghoussoub, G. Godefroy, B. Maurey, and W. Schachermayer, Some topological and geometrical structures in Banach spaces, Mem. Amer. Math. Soc. 70 (1987), no. 378, iv+116. MR 912637, DOI 10.1090/memo/0378
Gilles Godefroy, Parties admissibles d’un espace de Banach. Applications, Ann. Sci. École Norm. Sup. (4) 16 (1983), no. 1, 109–122 (French). MR 719765
Gilles Godefroy, Boundaries of a convex set and interpolation sets, Math. Ann. 277 (1987), no. 2, 173–184. MR 886417, DOI 10.1007/BF01457357
Gilles Godefroy, Metric characterization of first Baire class linear forms and octahedral norms, Studia Math. 95 (1989), no. 1, 1–15. MR 1024271, DOI 10.4064/sm-95-1-1-15
Alain Louveau, Ensembles analytiques et boréliens dans les espaces produits, Astérisque, vol. 78, Société Mathématique de France, Paris, 1980 (French). With an English summary. MR 606933
Gilles Pisier, Holomorphic semigroups and the geometry of Banach spaces, Ann. of Math. (2) 115 (1982), no. 2, 375–392. MR 647811, DOI 10.2307/1971396
[S] S. Stegall, Applications of descriptive topology to functional analysis, forthcoming book.
Michel Talagrand, Weak Cauchy sequences in $L^{1}(E)$, Amer. J. Math. 106 (1984), no. 3, 703–724. MR 745148, DOI 10.2307/2374292
Michel Talagrand, The Glivenko-Cantelli problem, Ann. Probab. 15 (1987), no. 3, 837–870. MR 893902
- [F-S] D. Fremlin and S. Shelah, Pointwise compact and stable sets of measurable functions, manuscript, 1990.
- [G-G-M-S] N. Ghoussoub, G. Godefroy, B. Maurey, W. Schachermayer, Some topological and geometrical structures in Banach spaces, Mem. Amer. Math. Soc. no. 378, Providence, RI, 1987. MR 0912637
- [G1 ] G. Godefroy, Parties admissibles d'un espace de Banach. Applications, Ann. Sci. École Norm. Sup 4, (1983), 109-122. MR 719765
- [G2] G. Godefroy, Boundaries of a convex set and interpolation sets. Math. Ann. 277 (1987), 173-184. MR 886417
- [G3] G. Godefroy, Metric characterization of first Baire class linear forms and octaedrol norms, Studia Math. XCV (1989), 1-15. MR 1024271
- [L] A. Louveau, Ensembles analytiques et boréliens dans les espaces produits, Astérisque 78 (1980). MR 606933
- [P] G. Pisier, Holomorph semi-groups and the geometry of Banach Spaces, Ann of Math. (2) 115 (1982), 375-392. MR 647811
- [S] S. Stegall, Applications of descriptive topology to functional analysis, forthcoming book.
- [T1] M. Talagrand, Weak Cauchy sequences in L, Amer. J. Math. 106 (1984), 703-724. MR 745148
- [T2] M. Talagrand, The Glivenko-Cantelli problem, Ann. Probab. 15 (1987), 837-870. MR 893902
Review Information:
Reviewer:
Michel Talagrand
Journal:
Bull. Amer. Math. Soc.
25 (1991), 123-131
DOI:
https://doi.org/10.1090/S0273-0979-1991-16042-8
