About regular measures with values in ordered space
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| 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 |
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