- Title
- A new and self-contained proof of Borwein’s norm duality theorem
- Creator
- Aragón Artacho, Francisco J.
- Relation
- Set-Valued Analysis Vol. 15, Issue 3, p. 307-315
- Publisher Link
- http://dx.doi.org/10.1007/s11228-006-0040-6
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2007
- Description
- Borwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be relaxed.
- Subject
- convex process; sublinear mapping; norm duality; inner norm; outer norm
- Identifier
- http://hdl.handle.net/1959.13/933719
- Identifier
- uon:11703
- Identifier
- ISSN:0927-6947
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
- Reviewed
- Hits: 1581
- Visitors: 2209
- Downloads: 250
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Author final version | 143 KB | Adobe Acrobat PDF | View Details Download |