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

Diana Caponetti

subject

Settore MAT/05 - Analisi MatematicaBochner integrable function weak compactness w-tightness measure of weak noncompactness.

description

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).

http://hdl.handle.net/10447/40014