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On a class of universal modular sequence spaces. (English) Zbl 0311.46009


MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
Full Text: DOI

References:

[1] Bretagnolle, J.; Dacunha-Castelle, D., Applications de l’étude de certaines formes linéaires aléatoires au plongement d’espaces de Banach dans des espaces L^p, Ann. Sci. Ecole Norm. Sup., 2, 437-480 (1967) · Zbl 0229.60006
[2] Johnson, W. B.; Zippin, M., On subspaces of quotients of (ΣG)_n)l_p and (ΣG_n)c_0, Israel J. Math., 13, 311-316 (1973) · Zbl 0252.46025
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[9] H. Nakano,Modulared sequence spaces, reprinted inSemi-ordered Linear Spaces, Maruzen, Tokyo, 1955.
[10] Rosenthal, H. P., On the subspaces of L^p (p>2) spanned by sequences of independent random variables, Israel J. Math., 8, 273-303 (1970) · Zbl 0213.19303
[11] H. P. Rosenthal,On the span in L^pof sequences of independent random variables (II) Proc. of the 6th Berkeley Symposium, vol. II, 149-167.
[12] K. Urbanik,Some prediction problems for strictly stationary processes, Proc. of the 5th Berkeley Symposium, vol. II, part 1, 235-258. · Zbl 0226.60065
[13] Woo, J. Y. T., On modular sequence spaces, Studia Math., 48, 271-289 (1973) · Zbl 0264.46007
[14] Woo, J. Y. T., On modular sequence spaces II (1973), Berkeley: University of California, Berkeley · Zbl 0264.46007
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