On the extremal structure of least upper bound norms and their dual

• Autor(es): Sá, E. Marques de ; Santos, Virgínia
• Data: 2008
• Identificador Persistente: http://hdl.handle.net/10316/4589
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Linear mappings; Convex sets; Subdifferentials
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

Given finite dimensional real or complex Banach spaces, E and F, with norms and , we denote by N[mu][nu] the least upper bound norm induced on . Some results are given on the extremal structures of , the unit ball of N[mu][nu], of its polar , and of , which is the polar of the unit ball of the least upper bound norm N[mu]°[nu]°. http://www.sciencedirect.com/science/article/B6V0R-4RDBFDR-1/1/816ffee50923a7ec88d31c3c3daba91a