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oai:docta.ucm.es:20.500.14352/494462024-07-12T16:12:53Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Villanueva Díez, Ignacio author Pérez García, David author 2004-04 In this paper, we characterize, for 1 ≤ p <∞, the multiple (p, 1)-summing multilinear operators on the product of C(K) spaces in terms of their representing polymeasures. As consequences, we obtain a new characterization of (p, 1)-summing linear operators on C(K) in terms of their representing measures and a new multilinear characterization of L∞ spaces. We also solve a problem stated by M.S. Ramanujan and E. Schock, improve a result of H.P. Rosenthal and S.J. Szarek and give new results about polymeasures. 1871-2487 10.1007/BF02385583 https://hdl.handle.net/20.500.14352/49446 http://www.arkivformatematik.org/ http://www.springerlink.com/content/0004-2080 http://www.arkivformatematik.org/ Multiple summing operators on C(k) spaces