@article{CM_1979__39_2_141_0,
author = {Dor, L. E. and Starbird, T.},
title = {Projections of $L_p$ onto subspaces spanned by independent random variables},
journal = {Compositio Mathematica},
pages = {141--175},
year = {1979},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {39},
number = {2},
mrnumber = {546965},
zbl = {0404.60013},
language = {en},
url = {https://www.numdam.org/item/CM_1979__39_2_141_0/}
}
TY - JOUR AU - Dor, L. E. AU - Starbird, T. TI - Projections of $L_p$ onto subspaces spanned by independent random variables JO - Compositio Mathematica PY - 1979 SP - 141 EP - 175 VL - 39 IS - 2 PB - Sijthoff et Noordhoff International Publishers UR - https://www.numdam.org/item/CM_1979__39_2_141_0/ LA - en ID - CM_1979__39_2_141_0 ER -
%0 Journal Article %A Dor, L. E. %A Starbird, T. %T Projections of $L_p$ onto subspaces spanned by independent random variables %J Compositio Mathematica %D 1979 %P 141-175 %V 39 %N 2 %I Sijthoff et Noordhoff International Publishers %U https://www.numdam.org/item/CM_1979__39_2_141_0/ %G en %F CM_1979__39_2_141_0
Dor, L. E.; Starbird, T. Projections of $L_p$ onto subspaces spanned by independent random variables. Compositio Mathematica, Tome 39 (1979) no. 2, pp. 141-175. https://www.numdam.org/item/CM_1979__39_2_141_0/
[1] , , , , : On uncomplemented subspaces of L p, 1 < p < 2. Israel J. Math. 26 (1977) 178-187. | Zbl | MR
[2] , : Application de l'etude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces LP. Ann. Sci. Ecole Normale Superieure 4e ser. 2 (1969) 437-480. | Zbl | MR | Numdam
[3] : Martingale transforms. Annals of Math. Stat. 37 (1966) 1494-1504. | Zbl | MR
[4] : On projections in L1. Annals of Math. 102 (1975) 463-474. | Zbl | MR
[5] , : On the stability of bases in Banach and Hilbert spaces. Izv. Akad. Nauk Mold. SSR 5 (1962) 17-35. | MR
[6] , , , : Symmetric structures in Banach spaces. | Zbl
[7] , : Subspaces of Lp which embed into lp. Compositio Math. 28 (1974) 37-49. | Zbl | MR | Numdam
[8] : On conditionally convergent series in the space Lp. Uspehi Mat. Nauk 9:1 (1954) 107-109. | Zbl | MR
[9] , : Bases, lacunary sequences, and complemented subspaces of Lp. Studia Math. 21 (1962) 161-176. | Zbl
[10] : Sous-espaces de dimension finie des espaces de Banach réticulés. Ann. of Math. 104 (1976) 1-29. | Zbl | MR
[11] , : Classical Banach spaces. Lecture Notes in Mathematics. Springer Verlag, Berlin 1973. | Zbl | MR
[11a] , : Classical Banach spaces I, Ergebnisse der Mathematik Grenzgebiete 92. Springer Verlag, Berlin 1977. | Zbl | MR
[12] , : Absolutely summing operators in Lp spaces and their applications. Studia Math. 29 (1968) 275-326. | Zbl
[13] : Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces Lp. Asterisque 11, Paris 1974. | Zbl | Numdam
[ 14] : Geometric theory of Banach spaces. Part I, theory of basic and minimal systems. Uspehi Mat. Nauk 25:3 (1970) 113-174 (Russian), English translation: Russian Math. Surveys 25:3 (1970) 111-170. | Zbl | MR
[ 15] : Uber unbedingte Konvergenz in Functionenraumen I/II. Studia Math 4 (1933) 33-37, 41-47. | Zbl | JFM
[16] , : Localization techniques in Lp spaces. Studia Math. 52 (1975) 263-289. | Zbl
[17] : On a theorem of J. L. Krivine concerning block finite representability of lp in general Banach spaces. J. Functional Analysis. | Zbl
[18] : On relatively disjoint families of measures, with some applications to Banach space theory. Studia Math. 37 (1970) 13-36. | Zbl | MR
[19] : On subspaces of Lp. Annals of Math. 97 (1973) 344-373. | Zbl | MR
[20] : On the span in Lp of sequences of independent random variables (II). Proceedings VI Berkeley Symp. Math. Stat. Prob. Vol. II (1970/1) 149-167. | Zbl | MR
[21] : On the subspaces of Lp (p > 2) spanned by sequences of independent random variables. Israel J. Math. 8 (1970) 273-303. | Zbl | MR
[22] : Projections onto translation-invariant subspaces of Lp(G). Memoirs A.M.S. 63 (1966). | Zbl | MR
[23] : Trigonometric series with gaps. J. Math. Mech. 9 (1960) 203-227. | Zbl | MR
[24] : A Banach lattice without the approximation property. Israel J. Math. 24 (1976) 329-337. | Zbl | MR
[25] : On modular sequence spaces. Studia Math. 48 (1973) 271-289. | Zbl | MR
[26] : Trigonometric Series. vol. I, 2nd. edition, Cambridge Univ. Press, Cambridge, England, 1959. | Zbl | MR
[27] : Conditions for the embedding of classes of sequences and their consequences. Mat. Zametki 20 (1976) 681-692. English translation: Math. Notes Acad. Sci. USSR 20 (1976) 942-948. | Zbl | MR
[28] : Topics in Harmonic Analysis related to the Littlewood-Paley theory. Annals of Math. Studies No. 63, Princeton 1970. | Zbl | MR





