Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

• Garcia-Raffi, Lluís ^[1] ; Sánchez-Pérez, E.A. ^[1]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 2, 2005, págs. 135-142
• Idioma: inglés
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• Resumen

  • Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices. We generalize in this way several classical factorization results for operators between these spaces, as psumming operators.