Subdifferential calculus for invariant linear ordered vector space-valued operators and applications
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 4
Abstract
We give a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity. As consequences, we deduce equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension theorems, Fenchel duality, Farkas and Kuhn-Tucker-type minimization results and subdifferential formulas in the context of invariance. As applications, we give Tarski-type extension theorems and related examples for vector lattice-valued invariant probabilities, defined on suitable kinds of events.
Authors and Affiliations
Antonio Boccuto
Keywords
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- EP ID EP651759
- DOI 10.24297/jam.v12i4.386
- Views 169
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