On vector lattice-valued measures II
1986 ◽
Vol 40
(2)
◽
pp. 234-252
◽
Keyword(s):
AbstractFor a weakly (, )-distributive vector lattice V, it is proved that a V {}-valued Baire measure 0 on a locally compact Hausdorff space T admits uniquely regular Borel and weakly Borel extensions on T if and only if 0 is strongly regular at . Consequently, for such a vector lattice V every V-valued Baire measure on a locally compact Hausdorff space T has unique regular Borel and weakly Borel extensions. Finally some characterisations of a weakly (, )-distributive vector lattice are given in terms of the existence of regular Borel (weakly Borel) extensions of certain V {}-valued Barie measures on locally compact Hausdorff spaces.
1994 ◽
Vol 50
(3)
◽
pp. 445-449
◽
1974 ◽
Vol 53
◽
pp. 127-135
◽
1986 ◽
Vol 41
(1)
◽
pp. 115-137
◽
1972 ◽
Vol 2
(4)
◽
pp. 287-291
◽
Keyword(s):
1974 ◽
Vol 26
(1)
◽
pp. 42-49
◽
1992 ◽
Vol 35
(2)
◽
pp. 271-283
◽
2019 ◽
Vol 2019
◽
pp. 1-7