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- W2906998712 abstract "This paper deals with a study on classes of non linear operators. Let $SL(X,Y)$ be the set of all sublinear operators between two Riesz spaces $X$ and $Y$. It is a convex cone of the space $H(X,Y)$ of all positively homogeneous operators. In this paper we study some spaces generated by this cone, therefore we study several properties, which are well known in the theory of Riesz spaces, like order continuity, order boundedness etc. Finally, we try to generalise the concept of adjoint operator. First, by using the analytic form of Hahn-Banach theorem, we adapt the notion of adjoint operator to the category of positively homogeneous operators. Then we apply it to the class of operators generated by the sublinear operators." @default.
- W2906998712 created "2019-01-11" @default.
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- W2906998712 date "2018-12-31" @default.
- W2906998712 modified "2023-09-26" @default.
- W2906998712 title "Spaces generated by the cone of sublinear operators" @default.
- W2906998712 doi "https://doi.org/10.15330/cmp.10.2.376-386" @default.
- W2906998712 hasPublicationYear "2018" @default.
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