2026-06-01T02:02:25Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/441262023-08-26T04:32:37Zcom_20.500.14352_14col_20.500.14352_15
Maurey-Rosenthal factorization for p-summing operators and Dodds-Fremlin domination
Palazuelos Cabezón, Carlos
Sánchez Pérez, Enrique A.
Tradacete Pérez, Pedro
51
p-summing operator
positive operator
Banach lattice
factorization
Dodds-Fremlin domination
Matemáticas (Matemáticas)
12 Matemáticas
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.
Ministerio de Educacion y Ciencia (Spain)
FEDER
Spanish MICINN through Juan de la Cierva program
Spanish MICINN
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T03:38:25Z
2023-06-20T03:38:25Z
2012
journal article
https://hdl.handle.net/20.500.14352/44126
1841-7744
eng
MTM2009-14483-C02-02
MTM2008-02652
PR34/07-15837
Prometeo/2008/101
MTM2008-01366
CCG08- UCM / ESP-4394
restricted access
application/pdf
The Theta Foundation