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DIANA CAPONETTI

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

  • Authors: CAPONETTI, D
  • Publication year: 2009
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Bochner integrable function, weak compactness, w-tightness, measure of weak noncompactness.
  • OA Link: http://hdl.handle.net/10447/40014

Abstract

A weak measure of noncompactness γU is defined in a Banach space 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).