RT Journal Article
T1 Multiple summing operators on C(k) spaces
A1 Villanueva, Ignacio
A1 Pérez García, David
AB 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.
PB Springer Verlag
SN 1871-2487
YR 2004
FD 2004-04
LK https://hdl.handle.net/20.500.14352/49446
UL https://hdl.handle.net/20.500.14352/49446
LA eng
NO DGICYT
DS Docta Complutense
RD 28 abr 2024