On nested sequences of convex sets in Banach spaces

DOI10.1016/J.JMAA.2011.12.002zbMath1241.46007OpenAlexW2002182564MaRDI QIDQ663729

Nilson C. jun. Bernardes

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.002

zbMATH Keywords

convex setsweak compactnessdistance functionnested sequence of sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (1)

Asynchronous level bundle methods

Cites Work

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• Approximation of the limit distance function in Banach spaces
• Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces
• Distance types in Banach spaces
• A Note on Topological Properties of Normed Linear Spaces
• Ultraproducts in Banach space theory.
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• Weakly Compact Sets
• The geometry of nested families with empty intersection. structure of the unit sphere of a nonreflexive space
• Convex Bodies and Periodic Homeomorphisms in Hilbert Space

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