- Title
- On the inner and outer norms of sublinear mappings
- Creator
- Aragón Artacho, Francisco J.; Dontchev, A. L.
- Relation
- Set-Valued Analysis Vol. 15, Issue 1, p. 61-65
- Publisher Link
- http://dx.doi.org/10.1007/s11228-006-0034-4
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2007
- Description
- In this short note we show that the outer norm of a sublinear mapping F, acting between Banach spaces X and Y and with dom F = X, is finite only if F is single-valued. This implies in particular that for a sublinear multivalued mapping the inner and the outer norms cannot be finite simultaneously.
- Subject
- set-valued mapping; convex graph; sublinear mapping; inner norm; outer norm
- Identifier
- http://hdl.handle.net/1959.13/933720
- Identifier
- uon:11702
- Identifier
- ISSN:0927-6947
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Author final version | 80 KB | Adobe Acrobat PDF | View Details Download |