A Hahn-Banach theorem for separation of semi-groups and its applications
type: Item
instance of: scholarly article
title: A Hahn-Banach theorem for separation of semi-groups and its applications
zbMATH Open document ID: 0691.46002
DOI: 10.1007/BF01836441
author: Zsolt Páles
published in: Aequationes Mathematicae
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137297
review text: The author studies a Hahn-Banach type theorem for separation of semigroups. For example, it is shown that if A, B are disjoint subsemigroups of an abelian semigroup S, that have nonempty algebraic cores, then there exists a real-valued homomorphism \(\mu\) on S such that \(\mu\) (a)\(\geq 0\geq \mu (b)\) for all \(a\in A\), \(b\in B\). This result is applied to obtain characterization theorems for semi-interval functions and separation theorems for semi-deviation means.
Mathematics Subject Classification ID: 46A22
Mathematics Subject Classification ID: 20M99
zbMATH DE Number: 4131006
zbMATH Keywords: Hahn-Banach type theorem for separation of semigroups
zbMATH Keywords: algebraic cores
zbMATH Keywords: characterization theorems for semi-interval functions
zbMATH Keywords: separation theorems for semi-deviation means
reviewed by: Taqdir Husain
MaRDI profile type: Publication
cites work: Sandwich theorems and lattice semigroups
cites work: Q3935671
cites work: Interpolation of additive functionals
cites work: Characterization of quasideviation means
cites work: On the characterization of quasiarithmetic means with weight function
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description: scientific article; zbMATH DE number 4131006