The Radon-Nikodým property does not imply the separable complementation property

DOI10.1006/jfan.2000.3689zbMath0992.46014OpenAlexW2047309220MaRDI QIDQ5931951

David Yost, Anatolij M. Plichko

Publication date: 6 May 2001

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3689

zbMATH Keywords

density characterRadon-Nikodým propertyseparable complementation propertystrong Markuševič basis

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Nonseparable Banach spaces (46B26)

Related Items (3)

Metrization theory and the Kadec property ⋮ Extendability of continuous quasiconvex functions from subspaces ⋮ Some approximation properties of Banach spaces and Banach lattices

Cites Work

• The Radon-Nikodym theorem for Banach space valued measures
• The structure of weakly compact sets in Banach spaces
• The dual of every Asplund space admits a projectional resolution of the identity
• The Unconditional Basic Sequence Problem
• Some topological and geometrical structures in Banach spaces
• On the Weak Radon-Nikodym Property
• The weak Radon-Nikodym property in Banach spaces
• Kadec and Krein–Milman properties
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