About regular measures with values in ordered space
About regular measures with values in ordered space
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.
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
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