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Rosenthal, H. P.

On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables. (English) Zbl 0213.19303

Isr. J. Math. 8, 273-303 (1970).
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Cited in 15 Reviews
Cited in 269 Documents

MSC:

60B99 Probability theory on algebraic and topological structures
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\textit{H. P. Rosenthal}, Isr. J. Math. 8, 273--303 (1970; Zbl 0213.19303)
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References:

[1] C. Bessaga and A. Pelczynski,On bases and unconditional convergence of series in Banach spaces, Studia Math.17 (1958), 151–164. · Zbl 0084.09805
[2] M. M. Day,Normed Linear Spaces, Berlin, Springer-Verlag, 1958. · Zbl 0082.10603
[3] N. Dunford and J. T. Schwartz,Linear Operators I, New York, Intersci. Pub., 1958. · Zbl 0084.10402
[4] M. I. Kadec and A. Pelczynski,Bases, lacunary sequences, and complemented subspaces in the spaces L p , Studia Math.21 (1962), 161–176.
[5] J. Khinchine,Über die diadischen Brüche, Math. Z.18 (1923), 109–116. · JFM 49.0132.01
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[8] J. Lindenstrauss and A. Pelczynski,Contributions to the theory of the classical Banach spaces, to appear.
[9] J. Lindenstrauss and H. P. Rosenthal,Automorphisms in c 0,l 1,and m, Israel J. Math.7 (1969), 227–239. · Zbl 0186.18602
[10] J. Lindenstrauss and H. P. Rosenthal,The p spaces, Israel J. Math.7 (1969), 325–349. · Zbl 0205.12602
[11] M. Loeve,Probability Theory, Princeton, D. Van Nostrand, 1962.
[12] R. E. A. C. Paley,A remarkable series of orthogonal functions, Proc. London Math. Soc.34 (1932), 241–264. · Zbl 0005.24806
[13] A. Pelczynski,On the isomorphism of the spaces m and M, Bull. Acad. Polon. Sci., Sér. Math., Astronom. Phys.,6 (1958), 695–696. · Zbl 0085.09406
[14] A. Pelczynski,Projections in certain Banach spaces, Studia Math.19 (1960), 209–228. · Zbl 0104.08503
[15] A. Pelczynski and I. Singer,On non-equivalent bases and conditional bases in Banach spaces, Studia Math.25 (1964), 5–25. · Zbl 0187.05403
[16] H. P. Rosenthal,On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from L p ({\(\mu\)})to L r (v), J. Functional Analysis2 (1969), 176–214. · Zbl 0185.20303
[17] H. P. Rosenthal,On totally incomparable Banach spaces, J. Functional Analysis2 (1969), 167–175. · Zbl 0184.15004
[18] H. P. Rosenthal,Projections onto translation-invariant subspaces of L p (G), Mem. Amer. Math. Soc.63 (1966). · Zbl 0203.43903
[19] I. Singer,Some characterizations of symmetric bases in Banach spaces, Bull. Acad. Polon. Sci., Ser. Math. Astronom Phys.,10 (1962), 185–192. · Zbl 0119.10005
[20] A. Sobczyk,Projections in Minkowski and Banach spaces, Duke Math. J.8 (1944), 78–106. · JFM 67.0403.03
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