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).
CAPONETTI, D. (2009). On some parameters related to weak noncompactness in L1(μ,E). QUAESTIONES MATHEMATICAE, 32, 427-434..
On some parameters related to weak noncompactness in L1(μ,E)
CAPONETTI, Diana
2009-01-01
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).
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