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Sur un théorème de J. L. Krivine concernant la caractérisation des classes d’espaces isomorphes à des espaces d’Orlicz généralises et des classes voisines. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. (French) Zbl 0262.46033


MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
26A51 Convexity of real functions in one variable, generalizations
Full Text: DOI

References:

[1] Bretagnolle, J.; Dacunha-Castelle; Krivine, J. L., Lois stables et espaces L^p, Ann. Inst. H. Poincaré, 2, 231-263 (1966) · Zbl 0139.33501
[2] D. Dacunha-Castelle, Séminaire Goulaouic-Schwartz IX, X, 1972.
[3] D. Dacunha-Castelle and J. L. Krivine,Applications des ultraproduits à l’étude des espaces et algèbres de Banach, Studia Math. (1971), 315-334. · Zbl 0275.46023
[4] S. Kwapien,Opérateurs factorisables à travers des L^p (a paraître).
[5] G. Köthe,Topological Vector Spaces I, Springer Verlag, 1970. · Zbl 0179.17001
[6] J. L. Krivine,Sommes continues de ϕ-espaces (à paraître).
[7] Lindenstrauss, J.; Pelcynski, A., Absolutely summing operators in ℒ^p-spaces and their applications, Studia Math., 29, 275-326 (1968) · Zbl 0183.40501
[8] Lindenstrauss, J.; Tzafriri, L., Orlicz spaces of sequences I & II, Israel J. Math., 10, 379-390 (1971) · Zbl 0227.46042
[9] M. Schreiber, Ann. Inst. H. Poincaré8 (1972).
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