Hahn-Banach type theorems on functional separation for convex ordered normed cones


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Authors

  • Fedor Stonyakin

DOI:

https://doi.org/10.32523/2077-9879-2019-10-1-59-79

Keywords:

abstract convex cone, Hahn-Banach separation theorem, strict convex normed cone, convex ordered normed cone, sublinear injective isometric embedding, Radstrom embedding theorem

Abstract

We consider a special class of convex ordered normed cones CONC. For such structures we obtain Hahn-Banach type theorems on functional separation for points. On the base of a Hahn-Banach type theorem on functional separation for points we prove a sublinear version of the Rädström embedding theorem for the class CONC. Some analogues of Hahn-Banach separation theorem for some type of sets in CONC are obtained.

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Published

2019-03-30

How to Cite

Stonyakin, F. (2019). Hahn-Banach type theorems on functional separation for convex ordered normed cones. Eurasian Mathematical Journal, 10(1), 59–79. https://doi.org/10.32523/2077-9879-2019-10-1-59-79

Issue

Vol. 10 No. 1 (2019)

Section

Articles