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Applications sommantes et radonifiantes. (Summing and Radonifying mappings). (French) Zbl 0228.46037

MSC:
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46G10 Vector-valued measures and integration
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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References:
[1] Séminaire L. SCHWARTZ, Applications radonifiantes. Ecole Polytechnique, 1969-1970. · Zbl 0195.13003
[2] P. ASSOUAD, LES applications φ-0-sommantes et φ-0-radonifiantes. Comptes-Rendus Acad. Sci. Paris, séance du 20 juillet 1970, t. 271 (série A), 157-158. · Zbl 0225.46046
[3] R. O’NEIL, Integraltransforms and tensor products on Orlicz spaces and L(p,q) spaces. Journ. Anal. Math. 21 (1968), p. 4-276. · Zbl 0182.16703
[4] M.A. KRASNOSEL’SKII et Ya.B. RUTICKII, Convex functions and Orlicz spaces. P. Nordhoff (1961). · Zbl 0095.09103
[5] W. ORLICZ, Uber raüme LM. Bull. Acad. Polonaise des Sci. (1936), 93-107. · JFM 62.0463.03
[6] W. MATUSZEWSKA, On generalized Orlicz spaces. Bull. Acad. Polonaise des Sci. 8 (1960), p. 349-353. · Zbl 0101.08903
[7] B. MAUREY, Applications p-sommantes pour p réel quelconque, Comptes-Rendus Acad. Sci. Paris, séance du 1er février 1971, t. 272 (série A), p. 376-378. · Zbl 0203.45503
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