Modèles étalés des espaces de Banach
Publications du Département de mathématiques (Lyon) (1983)
- Issue: 4A, page 1-199
- ISSN: 0076-1656
Access Full Article
topHow to cite
topBeauzamy, B., and Lapreste, J. T.. "Modèles étalés des espaces de Banach." Publications du Département de mathématiques (Lyon) (1983): 1-199. <http://eudml.org/doc/273470>.
@article{Beauzamy1983,
author = {Beauzamy, B., Lapreste, J. T.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {spreading models; Banach-Saks properties; M-properties; stable Banach spaces},
language = {fre},
number = {4A},
pages = {1-199},
publisher = {Université Claude Bernard - Lyon 1},
title = {Modèles étalés des espaces de Banach},
url = {http://eudml.org/doc/273470},
year = {1983},
}
TY - JOUR
AU - Beauzamy, B.
AU - Lapreste, J. T.
TI - Modèles étalés des espaces de Banach
JO - Publications du Département de mathématiques (Lyon)
PY - 1983
PB - Université Claude Bernard - Lyon 1
IS - 4A
SP - 1
EP - 199
LA - fre
KW - spreading models; Banach-Saks properties; M-properties; stable Banach spaces
UR - http://eudml.org/doc/273470
ER -
References
top- [1] Aldous D., Unconditional bases and Martingales in , Math. Proc.Cambridge (1979), 85-117. Zbl0389.46027MR510406
- [2] Aldous D., Subspaces of via random measures. Trans. A.M.S.267 (1981) n° 2, 445-463. Zbl0474.46007MR626483
- [3] Altschuler Z., A Banach space with a symmetric basis which contains or ..., Compositio Math.35 (1977), 189-195. Zbl0381.46008
- [4] Altschuler Z., Casazza P.G., Bor-Luh Lin, On symmetric basic sequences in Lorentz sequence spaces. Israël J. of Maths15/2 (1973), 140-155. Zbl0264.46011MR328553
- [5] Andrew A., Spread ing basic sequences and subspaces of James' quasi reflexive space. Math. Scand.48 (1981), 108-118 Zbl0439.46010MR621422
- [6] Baernstein A., On reflexivity and summability. Studia Math.42 (1972), 91-94. Zbl0206.42104MR305044
- [7] Banach S. - Saks S., Sur la convergence forte dans les champs Studia Math.2 (1930), 51-57. Zbl56.0932.01JFM56.0932.01
- [8] Beauzamy B., Banach-Saks properties and Spreading Models. Math. Scand.44 (1979), 357-384. Zbl0427.46007MR555227
- [9] Beauzamy B., Convergence ou divergence presque sûres des sommes de Cesàro dans un espace de Banach. Note C.R.A.S.Paris, t. 287 (25 sept. 78), 457-459. Zbl0402.60011MR517342
- [10] Beauzamy B., Espaces d'Interpolation réels, Topologie et Geométrie. Lecture Notes n° 666, Springer-Verlag. Zbl0382.46021
- [11] Beauzamy B., Deux espaces de Banach et leurs modèles étalés. Publ. du Dép. de Math.. Univ. Lyon I, 1980, t. 17/2. Zbl0526.46022
- [11 b] Beauzamy B., Sous-espaces de Modèles étalés et structures cycliquement reproduites dans les espaces de Banach. Bull. des Sc. Math., 1982. Zbl0508.46012
- [12] Beauzamy B., Introduction to Banach spaces and their geometry. North Holland, Collection "Notas de Matematica", vol. 68, Août 1982. Zbl0491.46014MR670943
- [13] Beauzamy B., Maurey B., Iteration of Speading Models. Arkiv for Math17/2 (1979) 193-198. Zbl0477.46018MR608314
- [14] Bessaga C. Pelczynski A., On bases and unconditional convergence of series in Banach spaces. Studia Math.17 (1958) 165-174. Zbl0084.09805MR115071
- [15] Bourgain J., On the Banach-Saks property in Lebesgue spaces. A paraître.
- [16] Brunel A., Espaces associés à une suite bornée dans un espace de Banach. Séminaire Maurey-Schwartz, exposés 15, 16, 18. Ecole Polytechnique. 1973/74. Zbl0305.46024MR405070
- [17] Brunel A., Sucheston L., On B-convex Banach spaces. Math System Theory, 7 (1974), 294-299. Zbl0323.46018MR438085
- [18] Brunel A., Sucheston L., On -convexity and ergodic super-properties of Banach spaces. Trans. A.M.S., 204 (1975), 79-90. Zbl0273.46013MR380361
- [19] Brunel A., Fong H., Sucheston L., An ergodic super-property of Banach spaces, defined by a class of matrices. Zbl0272.47008
- [20] Casazza P.G., Tzirelsohn's spaces. Dep. of Math.Univ. of Alabama, 1982.
- [21] Casazza P.G., Johnson W.B., Tzafriri L.T., Tzirelsohn's space (in preparation).
- [22] Casazza P.G., Lin B.L., Lohman R.H., On non-reflexive Banach spaces which contain no or , Can. J. of Math.32/6 (1980) 1382-1389. Zbl0462.46006MR604693
- [23] Casazza P.G., Lohman R.H., A general construction of spaces of the type of R.C. James, Can. J. of Math, 27 (1975) 1263-1270. Zbl0314.46017MR399817
- [24] Casazza P.G., Odell E., Tzirelsohn's space II (in preparation).
- [25] Dacunha-Castelle D., Krivine J.L., Application des ultraproduits à l'étude des espaces et des Algèbres de Banach, Studia Math.41 (1973), 315-334. Zbl0275.46023MR305035
- [26] Dor L.E., On sequences spanning a complex -space, Proc. A.M.S.47 (1975), 515-516. Zbl0296.46014MR358308
- [27] Dowson H.P., Spectral theory of linear operators, Academic Press1977. Zbl0384.47001MR511427
- [28] Erdos P., Magidor M., A note on regular methods of summability and the Banach-Saks property. Proc. A.M.S., 59 (1976). Zbl0355.40007MR430596
- [29] Farahat J., Espaces de Banach contenant , d’après H.P. RosenthalSéminaire Maurey-Schwartz, exposé 1973-74, Ecole Polytechnique, Palaiseau. Zbl0289.46014
- [30] Figiel T., Johnson W.B., A uniformly convex space which contains no . Compositio Math.29 (1974), 179-190. Zbl0301.46013MR355537
- [31] Garling D.J.H., Stable Banach Spaces. Lecture Notes, University of Cambridge, 1981.
- [32] Guerre S., La propriété de Banach-Saks ne passe pas de à , d'après J. Bourgain. Exposé VIII, Séminaire d'Analyse fonctionnelle1979/80. Ecole Polytechnique. Palaiseau. Zbl0454.46021MR604391
- [33] Guerre S., Lapreste J.T., Quelques propriétés des modèles étalés sur un espace de Banach. Ann. I.H.P., Section B, 16-4 (1980) 339-347. Zbl0454.46017MR603327
- [34] Guerre S., Lapreste J.T., Quelques propriétés des espaces de Banach stables. Israël J. of Math39-3 (1981), 247-254. Zbl0469.46015MR636893
- [35] James R.C., Bases and reflexivity of Banach spaces. Ann. of Math., 52 (1950), 518-527. Zbl0039.12202MR39915
- [36] James R.C., A non-reflexive Banach space isometric to its second conjugate. Proc. Nat. Acad. Sc. U.S.A.37 (1951) 174-177. Zbl0042.36102MR44024
- [37] James R.C., Weak compactness and reflexivity. Israël J. of Math2 (1964) 101-109. Zbl0127.32502MR176310
- [38] James R.C., Uniformly non-square Banach spaces. Ann. of Maths.80 (1964), 542-550. Zbl0132.08902MR173932
- [39] James R.C., Some self-dual properties of normed linear spaces. Ann. Math. Studies, 69 (1972), 159-175. Zbl0233.46025MR454600
- [40] Johnson W.B., Rosenthal H.P., On basic sequences and their applications to the study of Banach spaces. Studia Math.43 (72), 77-92. Zbl0213.39301MR310598
- [41] Kadec M.I., Pelczynski A., Basic sequences, biorthogonal systems and norming sets in Banach and Fréchet spaces. Studia Math25 (1965), 297-323. Zbl0135.34504MR181886
- [42] Kakutani S., Weak convergence in uniformly convex Banach spaces. Tohuku Math. J.45 (1938), 188-193. Zbl64.0369.01JFM64.0369.01
- [43] Krasnoelski M.A., Rutikii Y.B., Convex functions and Orlicz spaces, Groningen, Netherlands, 1961 (traduit du Russe).
- [44] Krivine J.L., Sous-espaces de dimension finie des espaces de Banach réticulés. Ann. of Math., 104 (1976), 1-29. Zbl0329.46008MR407568
- [45] Krivine J.L., Plongement de dans certains espaces de Banach. Exposé XII séminaire d'Analyse fonctionnelle1979-80. Ecole Polytechnique. Palaiseau. Zbl0445.46016
- [46] Krivine J.L., Maurey B., Espaces de Banach stables. Israël J. of Math.39-4 (1981), 273-281. Zbl0504.46013MR636897
- [47] Lapreste J.T., Suites écartables dans les espaces de Banach Exposé XX, Séminaire sur la géométrie des Espaces de Banach, 1977-78. Ecole Polytechnique. Palaiseau Zbl0386.46019MR520218
- [48] Lapreste J.T., Suites asymptotiquement inconditionnelles. Exposé XXX, Séminaire d'Analyse fonctionnelle, 1978-79. Ecole Polytechnique. Palaiseau. Zbl0409.46019MR520218
- [49] Lemberg H., Nouvelle démonstration d’un théorème de J.L. Krivine sur la finie représentation de dans un espace de Banach. Israël J. of Math., vol. 39, n°4 (1981), 341-348. Zbl0466.46023MR636901
- [50] Lidenstrauss-Rosenthal, -spaces, Israël J. of Math.7 (1969), 325-349. Zbl0205.12602MR270119
- [51] Lidenstrauss J., Tzafriri L.T., Classical Banach spaces, I et II, Springer-Verlag. 1977. Zbl0362.46013MR500056
- [52] Milman V.D., The geometric theory of Banach spaces. English translation : Russian Math. Surveys, 25 (1970), 111-170. Zbl0221.46015MR280985
- [53] Odell E., Applications of Ramsey theorem to Banach spaces theory. University of Texas at Austin-Press, 1981. Zbl0468.46009MR606226
- [54] Odell E., Wage W., Weakly null normalized sequences equivalent to unit basis of . Preprint, University of Texas at Austin.
- [55] Partington J.R., Almost sure summability of subsequences of Banach spaces. Studia Math.71 (1982), 23-35. Zbl0482.46009MR651323
- [56] Ramsey F.P., On a problem of formal logic. Proc. London Math. Soc, 2-30 (1929), 264-286. MR1576401JFM55.0032.04
- [57] Ropars Y., Modèles étalés des Espaces de Banach. Thèse 3è cycle Université de Paris7, mai 1983.
- [58] Rosenthal H.P., A characterization of Banach spaces not containing . Proc. Nat. Acad. Sc. U.S.A.71 (1974), 2411-2413. Zbl0297.46013MR358307
- [59] Rosenthal H.P., Weakly independent sequences and the Banach-Saks property. Proc. of the Durham Symposium, Juillet 1975.
- [60] Schachermayer W., A Banach space such that is not Banach-Saks. Israël Journal of Math., 40, 3-4 (1981), 340-344. Zbl0486.46021
- [61] Schahermayer W., The class of Banach spaces, which do not have co as a spreading model, is not hereditary. A paraître. Zbl0518.46013
- [62] Schreier J., Eim gegensbiespel zur Theorie der Scwachen Konvergenz. Studia Math.2 (1930), 58-62. JFM56.0932.02
- [63] Simmons S., Local reflexivity and -summing maps. Math. Ann.198, (1972), 335-344. Zbl0231.46033MR326353
- [64] Singer I., Bases in Banach spaces I et II ; Springer-Verlag. 1970. Zbl0198.16601MR298399
- [65] Stern J., Propriétés locales et ultrapuissances d'espaces de Banach. Exposés 7 et 8. Séminaire Maurey-Schwartz1974-75. Ecole Polytechnique. Palaiseau. Zbl0318.46027
- [66] Szlenk W., Sur les suites faiblement convergentes dans l’espace . Studia Math.25 (1965), 337-341. Zbl0131.11505MR201956
- [67] Tzirelson B.S., Not every Banach space contains or . Functional Anal. Appl.8 (1974), 138-141 (Traduit du Russe). Zbl0296.46018
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.