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On Banach spaces which contain \(\ell^1(\tau)\) and types of measures on compact spaces. (English) Zbl 0365.46020


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
28A10 Real- or complex-valued set functions
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] Erdös, P.; Rado, R., Intersection theorems for systems of sets, J. London Math. Soc., 35, 85-90 (1960) · Zbl 0103.27901 · doi:10.1112/jlms/s1-35.1.85
[2] Hagler, J., On the structure of S and C(S) for S dyadic, Trans. Amer. Math. Soc., 214, 415-428 (1975) · Zbl 0321.46022 · doi:10.2307/1997116
[3] J. Hagler,A counterexample to several questions about Banach spaces, to appear. · Zbl 0387.46015
[4] Hagler, J.; Stegall, C., On Banach spaces whose duals contain complemented subspaces isomorphic to C[0, 1]^∗, J. Functional Analysis, 13, 233-251 (1973) · Zbl 0265.46019 · doi:10.1016/0022-1236(73)90033-5
[5] I. Juhasz,Cardinal functions in topology, Mathematical Centre Tracts34, Amsterdam, 1971. · Zbl 0224.54004
[6] Peŀczyński, A., On Banach spaces containing L^1(μ), Studia Math., 30, 231-246 (1968) · Zbl 0159.18102
[7] Rosenthal, H. P., On injective Banach spaces and the spaces L^∞ (μ) for finite measures μ, Acta Math., 124, 205-248 (1970) · Zbl 0207.42803 · doi:10.1007/BF02394572
[8] Rosenthal, H. P., A characterization of Banach spaces containing l^1, Proc. Nat. Acad. Sci. U.S.A., 71, 2411-2413 (1974) · Zbl 0297.46013 · doi:10.1073/pnas.71.6.2411
[9] Semadeni, Z., Banach spaces of continuous functions (1971), Warszawa: P.W.N., Warszawa · Zbl 0225.46030
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