Biblioteca de la Universidad Complutense de Madrid

Multiple summing operators on C(k) spaces

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Villanueva, Ignacio y Pérez García, David (2004) Multiple summing operators on C(k) spaces. Arkiv för Matematik, 42 (1). pp. 153-171. ISSN 1871-2487

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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Multiple (q; p)-summing mappings; Integral multilinear mappings; Polymeasures; p-summing operators
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:11657
Depositado:01 Dic 2010 11:04
Última Modificación:03 Dic 2014 12:33

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