The implications for differentiability of a weak index of non-compactness

DOI10.1017/S0004972700015483zbMath0812.46007MaRDI QIDQ3142052

Moors, Warren B., John R. Giles

Publication date: 9 December 1993

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuity propertydifferentiability of convex functions on Banach spacesKuratowski's index of non-compactnessset-valued mappings from a Baire space into subsets of a Banach spaceweak index of non-compactness

Mathematics Subject Classification ID

Set-valued operators (47H04) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items

DUAL DIFFERENTIATION SPACES ⋮ Measure of non-Radon-Nikodym property and differentiability of convex functions on Banach spaces

Cites Work

• On a property of the norm which is close to locally uniform rotundity
• On the structure of Banach spaces with Mazur's intersection property
• On measures of weak noncompactness
• Convex functions, monotone operators and differentiability
• Separate continuity and joint continuity
• Banach spaces which are Asplund spaces
• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• Weak\(^*\) support points of convex sets in \(E^*\)
• Strongly Exposed Points in Weakly Compact Convex Sets in Banach Spaces

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