In this paper we furtherly develop the investigation on minimax results for functions taking values in an order-complete topological Riesz space, in particular deriving them from scalar ones, by means of a rather natural tool: Leemnts in the order cone are characterized by the infinitely many inequalities x*(x) > 0 for each linear functional x* in the topological dual. This applies to deriving several Riesz-valued versions of well known minimax inequialities. However in this paper some topological assumptions on the extrema (i.e. greatest lower bounds and least upper bounds) are weakened with respect to those in a previous paper.

Some minimax inequalities for functions taking values in a Riesz space

MARTELLOTTI, Anna;SALVADORI, Anna
1989

Abstract

In this paper we furtherly develop the investigation on minimax results for functions taking values in an order-complete topological Riesz space, in particular deriving them from scalar ones, by means of a rather natural tool: Leemnts in the order cone are characterized by the infinitely many inequalities x*(x) > 0 for each linear functional x* in the topological dual. This applies to deriving several Riesz-valued versions of well known minimax inequialities. However in this paper some topological assumptions on the extrema (i.e. greatest lower bounds and least upper bounds) are weakened with respect to those in a previous paper.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/912681
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact