Radon-Nikodým indices and measures of weak noncompactness

DOI10.1016/j.jfa.2014.09.015zbMath1319.46014OpenAlexW2021249604MaRDI QIDQ461713

Bernardo Cascales, Matías Raja, Antonio Pérez-Hernández

Publication date: 13 October 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.09.015

zbMATH Keywords

measure of weak noncompactnessRadon-Nikodým propertydentable setrepresentable operators

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Compactness in Banach (or normed) spaces (46B50) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (7)

Representation of measures of noncompactness and its applications related to an initial value problem in Banach spaces ⋮ Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness ⋮ Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure ⋮ On measure of noncompactness and application to global attractors of operator semigroups ⋮ On uniformly convex functions ⋮ On the solvability of a nonlinear integro-differential equation on the half-axis ⋮ Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\)

Cites Work

• Fragmentability in Banach spaces: interaction of topologies
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• An extension of the Krein--Smulian theorem
• Borel selectors for upper semi-continuous set-valued maps
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• Geometric aspects of convex sets with the Radon-Nikodym property
• Dentability and the Radon-Nikodym property
• Quantitative Dunford-Pettis property
• A quantitative version of Krein's theorem
• Banach space theory. The basis for linear and nonlinear analysis
• Distances to spaces of measurable and integrable functions
• Measure of weak noncompactness and real interpolation of operators
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