RT Journal Article
T1 Multiple summing operators on Banach spaces
A1 Villanueva Díez, Ignacio
A1 Pérez García, David
AB In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from  spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach space of multiple p-summing multilinear forms. We also show the failure of the inclusion theorem in this class of operators and improve some results of Y. Meléndez and A. Tonge about dominated multilinear operators.
PB Elsevier
SN 0022-247X
YR 2003
FD 2003-09-01
LK https://hdl.handle.net/20.500.14352/49480
UL https://hdl.handle.net/20.500.14352/49480
LA eng
NO Pérez Garcı́a, D. & Villanueva Díez, I. «Multiple Summing Operators on Banach Spaces». Journal of Mathematical Analysis and Applications, vol. 285, n.o 1, septiembre de 2003, pp. 86-96. DOI.org (Crossref), https://doi.org/10.1016/S0022-247X(03)00352-4.
NO Dirección General de Investigación Científica y Técnica (España)
DS Docta Complutense
RD 17 abr 2025