## Abstract A classical result in the theory of monotone operators states that if __C__ is a reflexive Banach space, and an operator __A__: __C__β__C__^\*^ is monotone, semicontinuous and coercive, then __A__ is surjective. In this paper, we define the βdual spaceβ __C__^\*^ of a convex, usually no
β¦ LIBER β¦
Positive continuous linear functionals on Riesz spaces and applications to minimax theorems
β Scribed by Anna Martellotti; Anna Salvadori
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 324 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0022-247X
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In this paper we are dealing with positive linear functionals on W\*-algebras. We introduce the notion of a positive linear functional with 2-property (see Definition 1.1). It is shown that each positive linear functional on a W\*-algebra possesses the 2property. This fact allows to give a short pr