@article{CM_1981__43_1_133_0, author = {Bourgain, Jean}, title = {A counterexample to a complementation problem}, journal = {Compositio Mathematica}, volume = {44}, year = {1981}, pages = {133-144}, mrnumber = {631431}, zbl = {0437.46016}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1981__43_1_133_0} }
Bourgain, J. A counterexample to a complementation problem. Compositio Mathematica, Tome 44 (1981) pp. 133-144. http://gdmltest.u-ga.fr/item/CM_1981__43_1_133_0/
[1] On uncomplemented subspaces of Lp, 1 < p < 2. Israel J. Math. 26 (1977) 178-187. | MR 435822 | Zbl 0339.46022
, , , and :[2] Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des aspaces Lp. Ann. Sci. Ecole Normale Supérieure 4e ser. 2 (1969) 437-480. | Numdam | MR 265930 | Zbl 0229.60006
and :[3] Martingale transforms. Annals of Math. Stat. 37 (1966) 1494-1504. | MR 208647 | Zbl 0306.60030
:[4] On projections in L1. Annals of Math. 102 (1975) 463-474. | MR 420244 | Zbl 0314.46027
:[5] Projections of Lp onto subspaces spanned by independent random variables. Compositio Math. (to appear). | Numdam | MR 546965
and :[6] Private communication.
:[7] On the stability of bases in Banach and Hilbert spaces. Izv. Adad. Nauk Mold. SSR 5 (1962) 17-35. | MR 226365
and :[8] Symmetric structures in Banach spaces. | Zbl 0421.46023
, , and :[9] Subspaces of Lp which embed into l p. Compositio Math. 28 (1974) 37-49. | Numdam | MR 352938 | Zbl 0282.46020
and :[10] On conditionally convergent series in the spaces Lp. Compositio Math. 28 (1974) 37-49.
:[11] Bases, lacunary sequences and complemented subspaces of Lp. Studia Math. 21 (1962) 161-176. | Zbl 0102.32202
and :[12] Sous-espaces de dimension finie des espaces de Banach reticulés. Ann. of Math. 104 (1976) 1-29. | MR 407568 | Zbl 0329.46008
:[13] Classical Banach spaces, Lecture Notes in Mathematics, Springer Verlag, Berlin 1973. | MR 415253 | Zbl 0259.46011
and :[14] Classical Banach spaces, I, Ergenbnisse der Mathematik Grenzgebiete 92, Springer Verlag, Berlin 1977. | MR 500056 | Zbl 0362.46013
and :[15] Absolutely summing operators in l p spaces and their applications. Studia Math. 29 (1968) 275-326. | MR 231188 | Zbl 0183.40501
and :[16] Geometric theory of Banach spaces. Part I, theory of basic and minimal systems. Uspehi Met. Nauk 25:3 (1970) 113-174 (Russian). | MR 280985 | Zbl 0221.46015
:[17] Über unbedingte Konvergenz in Functionenraumen I/II. Studia Math. 4 (1933) 33-37, 41-47. | JFM 59.1076.03 | Zbl 0008.31502
:[18] Localization techniques in Lp spaces. Studia Math. 52 (1975) 263-289. | MR 361729 | Zbl 0297.46023
and :[19] Oral communication.
:[20] On a theorem of J.L. Krivine concerning block finite representability of lp-spaces in general Banach spaces. J. Functional Analysis. | Zbl 0387.46016
:[21] On relatively disjoint families of measures, with some applications on Banach space theory. Studia Math. 37 (1970) 13-36. | MR 270122 | Zbl 0227.46027
:[22] On subspaces of Lp. Annals of Math. 97 (1973) 344-373. | MR 312222 | Zbl 0253.46049
:[23] 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. | MR 440354 | Zbl 0255.60003
:[24] On the subspaces of Lp, p > 2 spanned by sequences of independent random variables. Israel J. Math. 8 (1970) 273->303. | MR 271721 | Zbl 0213.19303
:[25] Projections onto translation-invariant subspaces of Lp(G). Memoirs A.M.S. 63 (1966). | MR 211198 | Zbl 0203.43903
:[26] Trigonometric series with gaps. J. Math. Mech. 9 (1960) 203-227. | MR 116177 | Zbl 0091.05802
:[27] A Banach lattice without the approximation property. Israel J. Math. 24 (1976) 329-337. | MR 420231 | Zbl 0336.46013
:[28] On modular sequence spaces. Studia Math. 48 (1973) 271-289. | MR 358289 | Zbl 0264.46007
:[29] Trigonometric Series. Vol. I, 2nd edition. Cambridge Univ. Press, Cambridge, England, 1959. | MR 107776 | Zbl 0085.05601
:[30] Convolution by a biased coin, The Altgeld book 1975/76, University of Illinois.
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