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On operators factorizable through L\(_p\) space. (English) Zbl 0246.47040

MSC:
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:
[1] J. KRIVINE , D. DACUNHA-CASTELLE , - Ultraproduites des espaces de Banach , Studia Math. (to appear). · Zbl 0275.46023
[2] J. COHEN , - A characterization of inner product spaces using 2 - absolutely summing operators , Studia Math. 38 ( 1969 ), p. 271-276. Article | MR 43 #6707 | Zbl 0203.43301 · Zbl 0203.43301 · eudml:217514
[3] A. GROTHIENDIECK , - Resume de la theorie metrique des produites tensorieles topologiques , Bol. Soc. Mat. Sao Paulo 8 ( 1956 ), p. 1-79. Zbl 0074.32303 · Zbl 0074.32303
[4] J. HOLUB , - A characterization of subspaces of Lp , Studia Math. (to appear). Zbl 0228.46021 · Zbl 0228.46021
[5] S. KWAPIEN , - On a theorem of L. Schwartz and its applications to absolutely summing operators , Studia Math. 38 ( 1969 ), p. 193-201. Article | MR 43 #3822 | Zbl 0211.43505 · Zbl 0211.43505 · eudml:217504
[6] S. KWAPIEN , - A linear topological characterization of inner product spaces , Studia Math. 38 ( 1969 ), p. 277-278. Article | MR 43 #2478 | Zbl 0203.43302 · Zbl 0203.43302 · eudml:217515
[7] J. LINDENSTRAUSS , A. PELCZYNSKI , - Absolutely summing operators in \alpha p spaces and their applications , Studia Math. 29 ( 1968 ), p. 275-326. Article | MR 37 #6743 | Zbl 0183.40501 · Zbl 0183.40501 · eudml:217232
[8] A. PERRSON , - On some properties of p nuclear and p integral operators , 33 ( 1969 ), p. 213-222, Studia Math. Article | MR 40 #769 | Zbl 0184.17903 · Zbl 0184.17903 · eudml:217388
[9] A. PERRSON , A. PIETSCH , - p nuklear und p integral operators , Studia Math. 33 ( 1962 ). Article | Zbl 0189.43602 · Zbl 0189.43602 · eudml:217403
[10] A. PIETSCH , - p-absolutely summing operators in Lr spaces , (to appear). · Zbl 0249.47020
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