Bulletin of the American Mathematical Society

Author(s): Haskell P. Rosenthal
Journal: Bull. Amer. Math. Soc. 84 (1978), 803-831.
MSC (1970): Primary 43A15, 46C05, 46E15, 46E30, 46G10
MathSciNet review: 499730
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15.: P. Enflo, Banach spaces which can be given an equivalent uniformly convex norm, Israel J. Math. 13 (1972), 281-288. MR 336297
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18.: T. Figiel and W. B. Johnson, A uniformly convex Banach space which contains no l, Compositio Math. 29 (1974), 179-190. MR 355537
19.: F. Galvin and K. Prikry, Borel sets and Ramsey's theorem, J. Symbolic Logic 38 (1973), 193-198. MR 337630
20.: J. Hagler, Some more Banach spaces which contain l¹, Studia Math. 46 (1973), 35-42. MR 333670
21.: J. Hagler, Nonseparable "James tree" analogues of the continuous functions on the Cantor set, Studia Math. 61 (1977), 41-53. MR 435799
22.: J. Hagler, A counterexample to several questions about Banach spaces, Studia Math, (to appear). MR 442651
23.: J. Hagler and W. B. Johnson, On Banach spaces whose dual balls are not weak* sequentially compact, Israel J. Math, (to appear). MR 482086
24.: J. Hagler and E. Odell, A Banach space not containing l, Illinois J. Math, (to appear). MR 482087
25.: R. Haydon, Some more characterizations of Banach spaces containing l₁, Math. Proc. Cambridge Philos. Soc. 80 (1976), 269-276. MR 423047
26.: R. Haydon, On Banach spaces which contain l¹(Τ) and types of measures on compact spaces, Israel J. Math, (to appear). MR 511799
27.: F. Hausdorff, Set theory, Chelsea, New York, 1962. MR 141601
28.: R. Huff and P. D. Morris, Dual spaces with the Kreĭn-Milman property have the Radon-Nikodym property, Proc. Amer. Math. Soc. 49 (1975), 104-108. MR 361775
29.: R. C. James, Bases and reflexivity of Banach spaces, Ann. of Math. 52 (1950), 518-527. MR 39915
30.: R. C. James, Uniformly nonsquare Banach spaces, Ann. of Math. 80 (1964), 542-550. MR 173932
31.: R. C. James, A separable somewhat reflexive Banach space with nonseparable dual, Bull. Amer. Math. Soc. 80 (1974), 738-743. MR 417763
32.: W. B. Johnson and H. P. Rosenthal, On w*-basic sequences and their applications to the study of Banach spaces, Studia Math. 43 (1972), 77-92. MR 310598
33.: W. B. Johnson and M. Zippin, Subspaces and quotient spaces of $(\sum G\sbn)\sb{l\sbp}$ and $(\sum G\sbn)\sb{c\sb{0}}$, Israel J. Math. 17 (1974), 50-55. MR 358296
34.: M. I. Kadec and A. Pełczyński, Bases, lacunary sequences and complemented subspaces in the spaces L, Studia Math. 21 (1962), 161-176.
35.: J. L. Krivine, Sous-espaces de dimension finie des espaces de Banach reticulés, Ann. of Math.
36.: K. Kuratowski, Topology.I, Academic Press, New York, 1966. MR 217751
37.: J. Lindenstrauss and C. Stegall, Examples of separable spaces which do not contain l, Studia Math. 54 (1975), 81-105. MR 390720
38.: J. Lindenstrauss and L. Tzafriri, Classical Banach spaces, 1; Sequence spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1977. MR 500056
39.: B. Maurey and H. P. Rosenthal, Normalized weakly null sequences with no unconditional subsequence, Studia Math. 61 (1977), 77-98. MR 438091
40.: C. St. J. A. Nash-Williams, On well quasi-ordering transfinite sequences, Proc. Cambridge Philos. Soc. 61 (1965), 33-39. MR 173640
41.: A. Nissenzweig, ω* sequential convergence, Israel J. Math. 22 (1975), 266-272. MR 394134
42.: E. Odell and H. P. Rosenthal, A double-dual characterization of separable Banach spaces containing l¹, Israel J. Math. 20 (1975), 375-384. MR 377482
43.: A. Pełczyński, On Banach spaces containing L₁(μ), Studia Math. 30 (1968), 231-246. MR 231181
44.: A. Pełczyński, On C(S) subspaces of separable Banach spaces, Studia Math. 31 (1968), 513-522. MR 234261
45.: R. Phelps, Lectures on Choquet's theorem, D. van Nostrand Co., Princeton, New Jersey, 1966. MR 193470
46.: G. Pisicr, Martingales with values in uniformly convex spaces, Israel J. Math. 20 (1975), 326-350. MR 394135
47.: J. D. Pryce, A device of R. J. Whitley's applied to pointwise compactness in spaces of continuous functions, Proc. London Math. Soc. 23 (1971), 532-546. MR 296670
48.: H. P. Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory, Studia Math. 37 (1970), 13-36 Correction-ibid (1971), 311-313. MR 270122
49.: H. P. Rosenthal, On infective Banach spaces and the spaces L, Acta Math. 124 (1970), 205-248. MR 257721
50.: H. P. Rosenthal, On factors of C[0, 1] with nonseparable dual, Israel J. Math. 13 (1972), 361-378. Correction, ibid 21 (1975), 93-94. MR 388063
51.: H. P. Rosenthal, A characterization of Banach spaces containing l^l, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411-2413. MR 358307
52.: H. P. Rosenthal, Point-wise compact subsets of the first Baire class, with some applications to Banach space theory, Aarhus Universitet various Publications Ser. No. 24, Denmark, 1974, pp. 176-187. MR 394139
53.: H. P. Rosenthal, The Banach spaces C(K) and L(μ), Bull. Amer. Math. Soc. 81 (1975), 763-781. MR 380381
54.: H. P. Rosenthal, Point-wise compact subsets of the first Baire class, Amer. J. Math. 99 (1977), 362-378. MR 438113
55.: H. P. Rosenthal, On a theorem of J. L. Krivine concerning block finite-representability of l, J. Functional Analysis 28 (1978). MR 493384
56.: H. P. Rosenthal, Banach spaces generated by convergent sequences of sets (to appear).
57.: A. Sobczyk, Projection of the space m onto its subspace c₀, Bull. Amer. Math. Soc. 47 (1941), 938-947. MR 5777
58.: C. P. Stegall, The Radon-Nikodym property in conjugate Banach spaces, Trans. Amer. Math. Soc. 206 (1975), 213-223. MR 374381
59.: J. Stern, A Ramsey theorem for trees, with an application to Banach spaces, Israel J. Math, (to appear). MR 476554
60.: W. Szlenk, The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces, Studia Math. 30 (1968), 53-61. MR 227743
61.: B. S. Tsirelson, Not every Banach space contains l₀, Functional Anal. Appl. 8 (1974), 138-141 (translated from Russian).
62.: L. Tzafriri, On Banach spaces with unconditional bases, Israel J. Math. 17 (1974), 84-93. MR 348456
63.: W. A. Veech, Short proof of Sobczyk's theorem, Proc. Amer. Math. Soc. 28 (1971), 627-628. MR 275122
64.: M. Zippin, The separable extension problem, Israel J. Math. 26 (1977), 372-387. MR 442649

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