6533b7d6fe1ef96bd12659e1
RESEARCH PRODUCT
On some parameters related to weak noncompactness in L1(μ,E)
Diana Caponettisubject
Discrete mathematicsMathematics (miscellaneous)Compact spaceBounded setBochner integralRegular polygonBanach spaceBochner spaceMeasure (mathematics)Mathematicsdescription
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 Δ1(A). Then the criterion for relative weak compactness due to Ulger [19] and Diestel-Ruess-Schachermayer [11] is recovered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-09-01 | Quaestiones Mathematicae |