Maurey-Rosenthal factorization for p-summing operators and Dodds-Fremlin domination Articles uri icon

authors

  • PALAZUELOS, CARLOS
  • SANCHEZ PEREZ, E. A.
  • TRADACETE PEREZ, PEDRO

publication date

  • July 2012

start page

  • 205

end page

  • 222

issue

  • 1

volume

  • 68

International Standard Serial Number (ISSN)

  • 0379-4024

Electronic International Standard Serial Number (EISSN)

  • 1841-7744

abstract

  • URL: http://www.theta.ro/jot/archive/2012-068-001/2012-068-001-011.html - Resumen: 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.

keywords

  • p-summing operator; positive operator; banach lattice; factorization; dodds-fremlin domination