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.
|Stato di pubblicazione||Published - 2009|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)