- Title
- Banach spaces that admit support sets
- Creator
- Borwein, J. M.; Vanderwerff, J. D.
- Relation
- Proceedings of the American Mathematical Society Vol. 124, p. 751-755
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-96-03122-X
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1995
- Description
- It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.
- Subject
- proper support point; support set; uncountable biorthogonal system; convex sets
- Identifier
- http://hdl.handle.net/1959.13/940409
- Identifier
- uon:13003
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 124, No. 3, pp. 751-755, 1995, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
- Hits: 3398
- Visitors: 3715
- Downloads: 351
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 106 KB | Adobe Acrobat PDF | View Details Download |