Some Applications of the Hahn-Banach Separation Theorem
Functional Analysis
2018-01-01 v1
Abstract
We show that a single special separation theorem (namely, a consequence of the geometric form of the Hahn-Banach theorem) can be used to prove Farkas type theorems, existence theorems for numerical quadrature with positive coefficients, and detailed characterizations of best approximations from certain important cones in Hilbert space.
Keywords
Cite
@article{arxiv.1712.10250,
title = {Some Applications of the Hahn-Banach Separation Theorem},
author = {Frank Deutsch and Hein Hundal and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:1712.10250},
year = {2018}
}
Comments
We dedicate this paper to our friend and colleague Professor Yair Censor on the occasion of his 75th birthday