6533b883fe1ef96bd12de0c7
RESEARCH PRODUCT
On some parameters related to weak noncompactness in L1(μ,E)
Diana Caponettisubject
Settore MAT/05 - Analisi MatematicaWeak compactness w-tightness measure of weak noncompactness.description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |