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Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). (English) Zbl 0316.46018


MSC:

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] W. B. Johnson and E. Odell,Subspaces of L p which embed into l p , Compositio Math.28 (1974), 37–49. · Zbl 0282.46020
[2] J. Lindenstrauss,A remark on 1 spaces, Israel J. Math.8 (1970), 80–82. · Zbl 0197.38703
[3] J. Lindenstrauss and Pelczynski,Absolutely summing operators in p spaces and their applications, Studia Math.29 (1968), 275–326. · Zbl 0183.40501
[4] J. Lindenstrauss and A. Pelczynski,Contributions to the theory of the classical Banach spaces, J. Functional Analysis8 (1971), 225–249. · Zbl 0224.46041
[5] J. Lindenstrauss and H. P. Rosenthal,The p spaces, Israel J. Math.7 (1969), 325–349. · Zbl 0205.12602
[6] J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Springer, 1973. · Zbl 0259.46011
[7] B. Maurey and G. Pisier,Séries de variables aléatoires vectorielles indépendantes et propriétés géimétriques des espaces de Banach (to appear).
[8] H. P. Rosenthal,On the subspaces of L p (p>2)spanned by sequences of independent random variables, Israel J. Math.8 (1970), 273–303. · Zbl 0213.19303
[9] H. P. Rosenthal,On the span in L p of sequences of independent random variables (II), Proc. of the 6th Berkeley Symp. on Prob. and Stat., Berkeley, Calif., 1971, Vol. II, pp. 149–167.
[10] J. Y. T. Woo,On a class of universal modular sequence spaces, Israel J. Math.20 (1975), 193–215. · Zbl 0311.46009
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