Some Applications of the Hahn-Banach Separation Theorem

Autor:	Deutsch, Frank, Hundal, Hein, Zikatanov, Ludmil
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis 41A65 52A27
Druh dokumentu:	Working Paper
Popis:	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. Comment: We dedicate this paper to our friend and colleague Professor Yair Censor on the occasion of his 75th birthday
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.10250 Zobrazit plný text záznamu View this record from Arxiv