An Analogue of the Radon-Nikodym Property for Non-Locally Convex Quasi-Banach Spaces

DOI10.1017/S0013091500027802zbMath0408.46007MaRDI QIDQ4195405

Nigel J. Kalton

Publication date: 1979

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Radon-Nikodym PropertyP-ConvexityChoquet Type TheoremP-Trivial SpacesQuasi Banach Spaces

Mathematics Subject Classification ID

Radon-Nikodým, Kre?n-Milman and related properties (46B22) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (6)

On Lipschitz maps, martingales, and the Radon-Nikodým property for \(\mathsf{F}\)-spaces ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Isomorphisms between \(L_ p\)-function spaces when \(p<1\) ⋮ Drops in quasi-Banach spaces ⋮ Unnamed Item ⋮ The basic sequence problem for quasi-normed spaces

Cites Work

• Unnamed Item
• A nonreflexive Banach space that is uniformly nonoctahedral
• Geometry of Banach spaces. Selected topics
• Martingales with values in uniformly convex spaces
• Compact and strictly singular operators on Orlicz spaces
• Dentability and extreme points in Banach spaces
• COMPACT p-CONVEX SETS
• A Noncompact Choquet Theorem

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