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

Risultato della ricerca: Other contribution

Abstract

A measure of weak noncompactness γU is defined in aBanach space X in terms of convex compactness. We obtainrelationships between the measure γU(A) of a bounded setA in the Bochner space L1(μ,E) and two parameters Π(A) andΛ1(A) related, respectively, to uniform integrability and weak-tightness. The criterion for relative weakcompactness in L1(μ,E) is recovered.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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