Uniform measures and countably additive measures

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Uniform measures are defined as the functionals on the space of bounded uniformly continuous functions that are continuous on bounded uniformly equicontinuous sets. If every cardinal has measure zero then every countably additive measure is a uniform measure. The functionals sequentially continuous on bounded uniformly equicontinuous sets are exactly uniform measures on the separable modification of the underlying uniform space.
LaTeX; 7 pages

Keywords

Functional Analysis, General Topology, 28C05; 54E15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/127017

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0885
 http://arxiv.org/abs/0704.0885

Collections

arXiv