Reference : A new and self-contained proof of Borwein's norm duality theorem
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10899
A new and self-contained proof of Borwein's norm duality theorem
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2007
Set-Valued Analysis
15
3
307-315
Yes
International
0927-6947
[en] convex process ; sublinear mapping ; norm duality
[en] 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.
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/10899
10.1007/s11228-006-0040-6
http://www.scopus.com/inward/record.url?eid=2-s2.0-34547606825&partnerID=40&md5=c1109ca551aef63f1854b8456591ba6c

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
Aragón - A New and Self-Contained Proof of Borwein's Norm Duality Theorem.pdfAuthor postprint151.69 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.