On the inner and outer norms of sublinear mappings
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http://hdl.handle.net/10045/8058
| Title: | On the inner and outer norms of sublinear mappings |
|---|---|
| Authors: | Aragón Artacho, Francisco Javier | Dontchev, Asen L. |
| Research Group/s: | Programación Semi-infinita |
| Center, Department or Service: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | Mathematical Reviews |
| Keywords: | Set-valued mapping | Convex graph | Sublinear mapping | Inner norm | Outer norm |
| Knowledge Area: | Matemáticas |
| Issue Date: | Mar-2007 |
| Publisher: | Springer Netherlands |
| Citation: | ARAGÓN ARTACHO, Francisco Javier; DONTCHEV, Asen L. "On the inner and outer norms of sublinear mappings". Set-Valued Analysis. Vol. 15, No. 1 (March 2007). ISSN 0927-6947, pp. 61-65 |
| Abstract: | 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. |
| Sponsor: | Grant BES-2003-0188 from FPI Program of MEC (Spain). |
| URI: | http://hdl.handle.net/10045/8058 |
| ISSN: | 0927-6947 (Print) | 1572-932X (Online) |
| DOI: | 10.1007/s11228-006-0034-4 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | The original publication is available at www.springerlink.com |
| Peer Review: | si |
| Publisher version: | http://dx.doi.org/10.1007/s11228-006-0034-4 |
| Appears in Collections: | INV - LOPT - Artículos de Revistas |
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