Banach spaces that admit support sets

DOI10.1090/S0002-9939-96-03122-XzbMath0840.46005OpenAlexW1501218127MaRDI QIDQ4875523

Jon Vanderwerff, Jonathan M. Borwein

Publication date: 24 April 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03122-x

zbMATH Keywords

continuum hypothesissupport setproper support pointclosed convex set all of whose points are properly supported in a Banach spaceuncountable ordered one-sided biorthogonal system

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

Biorthogonal systems and quotient spaces via Baire category methods ⋮ Generic Banach spaces and generic simplexes ⋮ \(CH\), a problem of Rolewicz and bidiscrete systems ⋮ A construction scheme for non-separable structures ⋮ Sequential continuity in the ball topology of a Banach space ⋮ On a problem of Rolewicz about Banach spaces that admit support sets ⋮ Thin-very tall compact scattered spaces which are hereditarily separable

Cites Work

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• Points of support for closed convex sets
• The dual of every Asplund space admits a projectional resolution of the identity
• Solution to a problem of S. Rolewicz
• The Radon-Nikodym Property in Conjugate Banach Spaces

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