Multiple summing operators on<Emphasis Type="Italic">C(K)</Emphasis> spaces |
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Authors: | David Pérez-García Ignacio Villanueva |
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Institution: | (1) Departamento de Análisis Matemático Facultad de Matemáticas, Universidad Complutense de Madrid, ES-28040 Madrid, Spain |
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Abstract: | In this paper, we characterize, for 1≤p<∞, the multiple (p, 1)-summing multilinear operators on the product ofC(K) spaces in terms of their representing polymeasures. As consequences, we obtain a new characterization of (p, 1)-summing linear operators onC(K) in terms of their representing measures and a new multilinear characterization ofL
∞ 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.
Both authors were partially supported by DGICYT grant BMF2001-1284. |
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Keywords: | |
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