Search results for " measure of weak noncompactness."

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

2009

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).

Settore MAT/05 - Analisi MatematicaBochner integrable function weak compactness w-tightness measure of weak noncompactness.
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On some parameters related to weak noncompactness in L1(μ,E)

2009

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.

Settore MAT/05 - Analisi MatematicaWeak compactness w-tightness measure of weak noncompactness.
researchProduct