A maximum principle
Copyright policy )A maximum principle
AbstractLet K be a nonempty compact set in a Hausdorff locally convex space, and F a nonempty family of upper semicontinuous convex-like functions from K into [–∞, ∞). K is partially ordered by F in a natural manner. It is shown among other things that each isotone, upper semicontinuous and convex-like function g: K → [ – ∞, ∞) attains its K-maximum at some extreme point of K which is also a maximal element of K.Subject classification (Amer. Math. Soc. (MOS) 1970): primary 46 A 40.
- Chinese University of Hong Kong China (People's Republic of)
Derivatives of functions in infinite-dimensional spaces, maximum principle, Convex sets in topological linear spaces; Choquet theory, extreme point, family of upper semicontinuous convex-like functions, Compactness in topological linear spaces; angelic spaces, etc., nonempty compact, Ordered topological linear spaces, vector lattices, maximal element
Derivatives of functions in infinite-dimensional spaces, maximum principle, Convex sets in topological linear spaces; Choquet theory, extreme point, family of upper semicontinuous convex-like functions, Compactness in topological linear spaces; angelic spaces, etc., nonempty compact, Ordered topological linear spaces, vector lattices, maximal element
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