Geodesic
On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures
Mathematica slovaca, Tome 39 (1989) no. 1, pp. 91-97
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 28B05, 28B15 
@article{MASLO_1989_39_1_a12,
     author = {Rie\v{c}anov\'a, Zdenka},
     title = {On consequences of the {Banach-Kuratowski} theorem for {Stone} algebra valued measures},
     journal = {Mathematica slovaca},
     pages = {91--97},
     year = {1989},
     volume = {39},
     number = {1},
     mrnumber = {1016335},
     zbl = {0676.28005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1989_39_1_a12/}
}
TY  - JOUR
AU  - Riečanová, Zdenka
TI  - On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures
JO  - Mathematica slovaca
PY  - 1989
SP  - 91
EP  - 97
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_1989_39_1_a12/
LA  - en
ID  - MASLO_1989_39_1_a12
ER  - 
%0 Journal Article
%A Riečanová, Zdenka
%T On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures
%J Mathematica slovaca
%D 1989
%P 91-97
%V 39
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_1989_39_1_a12/
%G en
%F MASLO_1989_39_1_a12
Riečanová, Zdenka. On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures. Mathematica slovaca, Tome 39 (1989) no. 1, pp. 91-97. http://geodesic.mathdoc.fr/item/MASLO_1989_39_1_a12/

[1] ХАРАЗИШВИЛИ А. С.: Топологические аспекты теорие меры. Киев, Наук. думка 1984. | Zbl

[2] LUXEMBURG W. A. J., ZAANEN A. C.: Riesz Spaces 1. North Holland, AMSTERDAM 1971.

[3] STONE M. H.: Boundedness properties in function lattices. Canadian J. Math. 1, 1949, 176-186. | MR | Zbl

[4] WRIGHT J. D. M.: Stone-algebra-valued measures and integrals. Proc. London Math. Soc. 19, 1969, 107-122. | MR | Zbl

[5] WRIGHT J. D. M.: A Radon-Nikodym theorem for Stone algebra valued measures. Trans. Amer. Math. Soc. 139, 1969, 75-94. | MR | Zbl

[6] WRIGHT J. D. M.: A decomposition theorem. Math. Z. 115, 1970, 387-391. | MR | Zbl

[7] WRIGHT J. D. M.: Vector lattice measures on locally compact spaces. Math. Z. 120, 1971, 193-203. | MR | Zbl

[8] WRIGHT J. D. M.: The measure extension problem for vector lattices. Annales de l'Institut Fourier, Grenoble 21, Fasc 4, 1971, 65-85. | MR | Zbl

[9] WRIGHT J. D. M.: Measures with values in a partially ordered vector space. Proc. London Math. Soc. 25, 1972, 675-688. | MR | Zbl

[10] WRIGHT J. D. M.: An algebraic characterization of vector lattices with the Borel regularity property. J. London Math. Soc. 7, 1973, 277-285. | MR | Zbl

[11] WICKSTEAD A. W.: Stone algebra-valued measures: Integration of vector-valued functions and Radon-Nikodym type theorem. Proc. London Math. Soc. 45, 1982, 193-226. | MR

[12] SHILKRET N.: Maxitive measure and integration. Indag. Math. 33, 1971, 109-116. | MR | Zbl

[13] RIEČANOVÁ Z.: About σ-additive and σ-maxitive measures. Math. Slovaca 32, 1982, No 4, 389-395. | MR

[14] DIXMIER J.: Sur certains espaces consideres par M. H. Stone. Summa Brasiliensis Mathematicae 11, 1951, 151-182. | MR | Zbl

[15] KELLEY J. I.: Measures in Boolean algebras. Pacific J. Math. 9, 1959, 1165-1171. | MR

[16] KADISON R. V.: A representation theory for commutative topological algebra. Memoirs Amer. Math. Soc. 7, 1951, 1-39. | MR | Zbl

[17] ULAM S.: Masstheorie in der allgemeinen Mengenlehre. Fundam. Math. 16, 1930, 140-150.