Skip to main content
Passa alla visualizzazione normale.

DIANA CAPONETTI

On some parameters related to weak noncompactness in L1(μ,E)

  • Authors: CAPONETTI, D
  • Publication year: 2009
  • Type: Altro
  • Key words: Weak compactness, w-tightness, measure of weak noncompactness.
  • OA Link: http://hdl.handle.net/10447/40015

Abstract

A measure of weak noncompactness γU is defined in a Banach space X in terms of convex compactness. We obtain relationships between the measure γU(A) of a bounded set A in the Bochner space L1(μ,E) and two parameters Π(A) and Λ1(A) related, respectively, to uniform integrability and weak-tightness. The criterion for relative weak compactness in L1(μ,E) is recovered.