# On Hahn-Banach theorem and some of its applications

@article{Olteanu2022OnHT, title={On Hahn-Banach theorem and some of its applications}, author={Octav Olteanu}, journal={Open Mathematics}, year={2022}, volume={20}, pages={366 - 390} }

Abstract First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone. Next, the work investigates applications of the Krein-Milman theorem to representation theory and elements of Choquet theory. A sandwich theorem of intercalating an affine function h h between f f and g , g, where f f\hspace{.25em} and – g \mbox{--}g are convex, f ≤ g…

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