Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces
Raynaud, Yves
Compositio Mathematica, Tome 80 (1991), p. 295-319 / Harvested from Numdam
Publié le : 1991-01-01
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     author = {Raynaud, Yves},
     title = {Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces},
     journal = {Compositio Mathematica},
     volume = {80},
     year = {1991},
     pages = {295-319},
     mrnumber = {1121141},
     zbl = {0788.46024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1991__79_3_295_0}
}
Raynaud, Yves. Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces. Compositio Mathematica, Tome 80 (1991) pp. 295-319. http://gdmltest.u-ga.fr/item/CM_1991__79_3_295_0/

[1] Arazy J.: The K-functional of certain pairs of rearrangement invariant spaces. Bull. Austral. Math. Soc. 27 (1983) 249-257. | MR 707975 | Zbl 0512.46056

[2] Bastero, J., Raynaud, Y.: Quotients and interpolation spaces of stable Banach spaces. Studia Math. 93 (1989) p. 223-239. | MR 1030489 | Zbl 0714.46053

[3] Bergh, J., Löfström, J.: Interpolation Spaces, an Introduction. Springer Verlag (1976). | MR 482275 | Zbl 0344.46071

[4] Dacunha-Castelle, D.: Sur un théorème de J. L. Krivine concernant la caractérisation des classes d'espaces isomorphes à des espaces d'Orlicz généralisés. Isr. J. Math., 13, 1972, p. 261-276. | MR 326370 | Zbl 0262.46033

[5] Dacunha-Castelle, D., Krivine, J.L.: Application des ultraproduits à l'étude des espaces et algèbres de Banach. Studia Math. 41, (1972), p. 315-334. | MR 305035 | Zbl 0275.46023

[6] Heinrich, S.: Ultraproducts in Banach Space Theory. J. Reine Angew. Math. 313, (1980) p. 72-104. | MR 552464 | Zbl 0412.46017

[7] Holmstedt, T.: Interpolation of quasi-normed spaces. Math. Scand. 26, 177-199 (1970). | MR 415352 | Zbl 0193.08801

[8] Krivine, J.L., Maurey, B.: Espaces de Banach stables. Israel J. of Math. 39, no. 4, (1981) p. 273-295. | MR 636897 | Zbl 0504.46013

[9] Lorentz, G.G.: Some new functional spaces. Ann. Math. 51, (1950), p. 37-55. | MR 33449 | Zbl 0035.35602

[10] Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces, II, Functions spaces. Springer-Verlag (1979). | MR 540367 | Zbl 0403.46022

[11] Maligranda, L.: The K-functional for symmetric spaces, in: Interpolation space and Allied Topics in Analysis. Lecture notes in Mathematics no. 1070, Springer Verlag (1984). | MR 760482 | Zbl 0573.46045

[12] Raynaud, Y.: Espaces de Banach superstables, distances stables et homéomorphismes uniformes. Isr. J. Math. 44, no. 1, (1983) p. 33-52. | MR 693653 | Zbl 0537.46023

[13] Raynaud, Y.: Sur la propriété de stabilité pour les espaces de Banach. Thèse 3° Cycle (1981), Université Paris VII.

[14] Raynaud, Y.: Abstract E(Lϕ) spaces. Preprint.

[15] Schütt, C.: Lorentz spaces that are isomorphic to subspaces of L1. Trans. Amer. Math. Soc. 314, (1989), p. 583-595. | MR 974527 | Zbl 0651.46028

[16] Weiss, L.: Banach lattices with the subsequence Splitting Property. Proc. Amer. Math. Soc. 105, no. 1, (1989), 87-96. | MR 937853 | Zbl 0679.46018

[17] Lorentz, G.G., Shimogaki, T., Interpolation Theorems for Operators in Function Spaces, Journal of Functional Analysis 2, (1968), p. 31-51. | MR 257775 | Zbl 0162.44504