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Ghoussoub, N.; Rosenthal, H. P.

Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\). (English) Zbl 0511.46017

Math. Ann. 264, 321-332 (1983).
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Cited in 1 Review
Cited in 16 Documents

MSC:

46B25 Classical Banach spaces in the general theory
46B20 Geometry and structure of normed linear spaces
60G46 Martingales and classical analysis

Keywords:

Dunford-Pettis operator; norm-sign-preserving operator; Banach lattices; Banach spaces with local unconditional structure; Schur property
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Full Text: DOI EuDML

References:

[1] Bourgain, J.: Dunford-pettis operators onL 1 and the Radon-Nidodym property. Israel J. Math.37, 34-47 (1980) · Zbl 0457.46017 · doi:10.1007/BF02762866
[2] Bourgain, J.: A characterization of non Dunford-Pettis operators. Israel J. Math.37, 48-53 (1980) · Zbl 0457.46018 · doi:10.1007/BF02762867
[3] Bourgain, J., Rosenthal, H.P.: Applications of the theory of semi-embeddings to Banach space theory. J. Funct. Anal.52 (1983) · Zbl 0541.46020
[4] Enflo, P., Starbird, T.: Subspaces ofL 1 containingL 1. Studia Math.65, 203-225 (1979) · Zbl 0433.46027
[5] Fakhoury, H.: Representations d’operateurs a valeurs dansL 1(X, ?, ?). Math. Ann.240, 203-212 (1979) · Zbl 0395.46007 · doi:10.1007/BF01362310
[6] Figiel, T., Ghoussoub, N., Johnson, W.: On the structure of non weakly compact operators on Banach lattices. Math. Ann.257, 317-334 (1981) · Zbl 0507.46013 · doi:10.1007/BF01456502
[7] Figiel, T., Johnson, W., Tzafriri, L.: On Banach lattices and spaces having local unconditional structure with applications to Lorentz function spaces. J. Approx. Theory13, 395-412 (1975) · Zbl 0307.46007 · doi:10.1016/0021-9045(75)90023-4
[8] Ghoussoub, N., Saab, E.: On the weak Radon-Nikodym property. Proc. Am. Math. Soc.81, 81-84 (1981) · Zbl 0475.46017
[9] Hagler, J., Stegall, C.: Banach spaces whose duals contain subspaces isomorphic toC[0, 1]*. J. Funct. Anal.13, 233-251 (1973) · Zbl 0265.46019 · doi:10.1016/0022-1236(73)90033-5
[10] Kalton, N.: EmbeddingL 1 in a Banach lattice. Israel J. Math.31, 169-179 (1978) · Zbl 0388.46014 · doi:10.1007/BF02760548
[11] Kalton, N.: The endomorphisms ofL p , 0?p?1. Preprint (1979)
[12] Lindenstrauss, Y., Tzafriri, L.: Classical banach spaces. In: Ergebnisse der Mathematik, Vols. 92, 97. Berlin, Heidelberg, New York: Springer Verlag 1979 · Zbl 0403.46022
[13] Musial, K.: The weak Radon-Nikodym property in Banach spaces. Studia Math.64, 151-174 (1978) · Zbl 0405.46015
[14] Pe?czy?ski, A.: Banach spaces of analytic functions. C.B.M.S. Regional Conference, Kent, Ohio, No. 30 (1977)
[15] Rosenthal, H.P.: Sign-embeddings ofL 1. Univ. of Connecticut Year in Analysis 1982 (to appear)
[16] Rosenthal, H.P.: A new stopping-time Banach space. (to appear)
[17] Rosenthal, H.P.: Some remarks concerning sign-embeddings. Paris VII Functional Analysis notes (to appear)
[18] Rosenthal, H.P.: Convolution by a biased coin. The Altgeld Book 1975/76. Univ. of Illinois, Functional Analysis Seminar
[19] Diestel, J., Uhl, J., Jr.: The theory of vector measures. In: Math. Surveys, No. 15. New York: AMS 1977 · Zbl 0369.46039
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