Approximation of Convex Functions on the Dual of Banach Spaces
نویسندگان
چکیده
منابع مشابه
Uniformly Convex Functions on Banach Spaces
We study the connection between uniformly convex functions f : X → R bounded above by ‖ · ‖p, and the existence of norms on X with moduli of convexity of power type. In particular, we show that there exists a uniformly convex function f : X → R bounded above by ‖ · ‖2 if and only if X admits an equivalent norm with modulus of convexity of power type 2.
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متن کاملon the dual of certain locally convex function spaces
in this paper, we first introduce some function spaces, with certain locally convex topologies, closely related to the space of real-valued continuous functions on $x$, where $x$ is a $c$-distinguished topological space. then, we show that their dual spaces can be identified in a natural way with certain spaces of radon measures.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2002
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3664