About regular measures with values in ordered space

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Bibliographic Details
Title: About regular measures with values in ordered space
Authors: Hrachovina, Ervín
Publisher Information: Vydavatel'stvo Obzor N.P., Bratislava
Subject Terms: every quasi-regular weakly (\(\sigma \) ,\(\infty )\)-distributive vector lattice-valued Borel measure on a compact Hausdorff space is regular, every quasi-regular weakly (\(\sigma \) ,\(\infty )\)-distributive vector, regular, Set functions, measures and integrals with values in ordered spaces, lattice-valued Borel measure on a compact Hausdorff space is
Description: The author proves the result that every quasi-regular weakly (\(\sigma\),\(\infty)\)-distributive vector lattice-valued Borel measure on a compact Hausdorff space is regular, its original proof due to J. D. M. Wright being incorrect. In the reviewer's paper 'On vector lattice-valued measures II'' J. Aust. Math. Soc. 40 (1986) is given a generalization of this result to locally compact Hausdorff spaces.
Document Type: Article
File Description: application/xml
Access URL: https://zbmath.org/3920856
Accession Number: edsair.c2b0b933574d..e2c6540d7a96b169c52eceb2bb782c8b
Database: OpenAIRE
Description
Abstract:The author proves the result that every quasi-regular weakly (\(\sigma\),\(\infty)\)-distributive vector lattice-valued Borel measure on a compact Hausdorff space is regular, its original proof due to J. D. M. Wright being incorrect. In the reviewer's paper 'On vector lattice-valued measures II'' J. Aust. Math. Soc. 40 (1986) is given a generalization of this result to locally compact Hausdorff spaces.