RT Journal Article
T1 Maurey-Rosenthal factorization for p-summing operators and Dodds-Fremlin domination
A1 Palazuelos Cabezón, Carlos
A1 Sánchez Pérez, Enrique A.
A1 Tradacete Pérez, Pedro
AB We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from an L-r-space to an L-s-space. As an application, we prove a domination result in the sense of Dodds-Fremlin for p-summing operators on Banach lattices with cotype 2, showing moreover that this cannot hold in general for spaces with higher cotype. We also present a new characterization of Banach lattices satisfying a lower 2-estimate in terms of the order properties of 2-summing operators.
PB The Theta Foundation
SN 1841-7744
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/44126
UL https://hdl.handle.net/20.500.14352/44126
LA eng
NO Ministerio de Educacion y Ciencia (Spain)
NO FEDER
NO Spanish MICINN through Juan de la Cierva program
NO Spanish MICINN
DS Docta Complutense
RD 7 jun 2025