Search results for "Weak compactness"

showing 3 items of 3 documents

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.
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MR2376860 (2009e:28048) Khurana, Surjit Singh Weak compactness of vector measures on topological spaces. Publ. Math. Debrecen 72 (2008), no. 1-2, 69-…

2009

Weak compactness of vector measures on topological spaces.

Weak compactness vector measures.
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