| Title:
|
On consequences of the Banach-Kuratowski theorem for Stone algebra valued measures (English) |
| Author:
|
Riečanová, Zdenka |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
91-97 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B05 |
| MSC:
|
28B15 |
| idZBL:
|
Zbl 0676.28005 |
| idMR:
|
MR1016335 |
| . |
| Date available:
|
2009-09-25T10:15:33Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128893 |
| . |
| Reference:
|
[1] ХАРАЗИШВИЛИ А. С.: Топологические аспекты теорие меры.Киев, Наук. думка 1984. Zbl 1239.01039 |
| Reference:
|
[2] LUXEMBURG W. A. J., ZAANEN A. C.: Riesz Spaces 1.North Holland, AMSTERDAM 1971. |
| Reference:
|
[3] STONE M. H.: Boundedness properties in function lattices.Canadian J. Math. 1, 1949, 176-186. Zbl 0032.16901, MR 0029091 |
| Reference:
|
[4] WRIGHT J. D. M.: Stone-algebra-valued measures and integrals.Proc. London Math. Soc. 19, 1969, 107-122. Zbl 0186.46504, MR 0240276 |
| Reference:
|
[5] WRIGHT J. D. M.: A Radon-Nikodym theorem for Stone algebra valued measures.Trans. Amer. Math. Soc. 139, 1969, 75-94. Zbl 0182.46902, MR 0248325 |
| Reference:
|
[6] WRIGHT J. D. M.: A decomposition theorem.Math. Z. 115, 1970, 387-391. Zbl 0195.14302, MR 0269796 |
| Reference:
|
[7] WRIGHT J. D. M.: Vector lattice measures on locally compact spaces.Math. Z. 120, 1971, 193-203. Zbl 0198.47803, MR 0293373 |
| Reference:
|
[8] WRIGHT J. D. M.: The measure extension problem for vector lattices.Annales de l'Institut Fourier, Grenoble 21, Fasc 4, 1971, 65-85. Zbl 0215.48101, MR 0330411 |
| Reference:
|
[9] WRIGHT J. D. M.: Measures with values in a partially ordered vector space.Proc. London Math. Soc. 25, 1972, 675-688. Zbl 0243.46049, MR 0344413 |
| Reference:
|
[10] WRIGHT J. D. M.: An algebraic characterization of vector lattices with the Borel regularity property.J. London Math. Soc. 7, 1973, 277-285. Zbl 0266.46036, MR 0333116 |
| Reference:
|
[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 0670035 |
| Reference:
|
[12] SHILKRET N.: Maxitive measure and integration.Indag. Math. 33, 1971, 109-116. Zbl 0218.28005, MR 0288225 |
| Reference:
|
[13] RIEČANOVÁ Z.: About σ-additive and σ-maxitive measures.Math. Slovaca 32, 1982, No 4, 389-395. MR 0676575 |
| Reference:
|
[14] DIXMIER J.: Sur certains espaces consideres par M. H. Stone.Summa Brasiliensis Mathematicae 11, 1951, 151-182. Zbl 0045.38002, MR 0048787 |
| Reference:
|
[15] KELLEY J. I.: Measures in Boolean algebras.Pacific J. Math. 9, 1959, 1165-1171. MR 0108570 |
| Reference:
|
[16] KADISON R. V.: A representation theory for commutative topological algebra.Memoirs Amer. Math. Soc. 7, 1951, 1-39. Zbl 0042.34801, MR 0044040 |
| Reference:
|
[17] ULAM S.: Masstheorie in der allgemeinen Mengenlehre.Fundam. Math. 16, 1930, 140-150. |
| . |
