Aragón Artacho, Francisco Javier
A new and self-contained proof of Borwein's norm duality theorem
ARAGÓN ARTACHO, Francisco Javier. "A new and self-contained proof of Borwein's norm duality theorem". Set-Valued Analysis. Vol. 15, No. 3 (Sept. 2007). ISSN 0927-6947, pp. 307-315
URI: http://hdl.handle.net/10045/8059
DOI: 10.1007/s11228-006-0040-6
ISSN: 0927-6947 (Print)
Abstract: 
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.
Keywords:Convex process, Sublinear mapping, Norm duality, Inner norm, Outer norm
Springer Netherlands
info:eu-repo/semantics/article