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Type: Artigo de periódico
Title: Generalized measures of noncompactness of sets and operators in Banach spaces
Author: da Silva, EB
Fernandez, DL
Abstract: New measures of noncompactness for bounded sets and linear operators, in the setting of abstract measures and generalized limits, are constructed. A quantitative version of a classical criterion for compactness of bounded sets in Banach spaces by R. S. Phillips is provided. Properties of those measures are established and it is shown that they are equivalent to the classical measures of noncompactness. Applications to summable families of Banach spaces, interpolations of operators and some consequences are also given.
Subject: measure of noncompactness
Banach space
partially ordered set
compact operator
summable family
interpolation space
Country: Holanda
Editor: Springer
Citation: Acta Mathematica Hungarica. Springer, v. 129, n. 3, n. 227, n. 244, 2010.
Rights: fechado
Identifier DOI: 10.1007/s10474-010-0025-7
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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