| Title:
|
On compact group-valued measures (English) |
| Author:
|
Volauf, Peter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
53-62 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B10 |
| MSC:
|
28B15 |
| idZBL:
|
Zbl 0911.28010 |
| idMR:
|
MR1414409 |
| . |
| Date available:
|
2009-09-25T11:12:37Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136663 |
| . |
| Reference:
|
[1] BERNAU S. J.: Unique representation of Archimedean lattice groups and normal Archimedean lattice rings.Proc. London Math. Soc. (3) 15 (1965), 599-631. MR 0182661 |
| Reference:
|
[2] BIRKHOFF G.: Lattice Theory.Amer. Math. Soc, Providence, R. I.-1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[3] FREMLIN D. H.: A direct proof of the Mathes-Wright integral extension theorem.J. London Math. Soc. (2) 11 (1975), 276-284. MR 0380345 |
| Reference:
|
[4] HRACHOVINA E.: A generalization of the Kolmogorov consistency theorem for vector measures.Acta Math. Univ. Comenian. 54-55 (1988), 141-145. Zbl 0723.28004, MR 1083208 |
| Reference:
|
[5] JAMESON G.: Ordered Linear Spaces.Lecture Notes in Math. 141, Springer, Berlin-New York, 1970. Zbl 0196.13401, MR 0438077 |
| Reference:
|
[6] LUXEMBURG W. A.-ZAANEN A. C.: Riesz Spaces I.North Holland, Amsterdam, 1971. |
| Reference:
|
[7] MARCZEWSKI E.: On compact measures.Fund. Math. 40 (1953), 113-124. Zbl 0052.04902, MR 0059994 |
| Reference:
|
[8] RIEČAN B.: On the lattice group valued measures.Časopis Pěst. Mat. 101 (1976), 343-349. MR 0499072 |
| Reference:
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[9] RIEČAN B.: Notes on lattice-valued measures.Acta Math. Univ. Comenian. XLII-XLIII (1983), 181-192. Zbl 0568.28010, MR 0740746 |
| Reference:
|
[10] RIEČAN B.: On measures and integrals with values in ordered groups.Math. Slovaca 33 (1983), 153-163. Zbl 0519.28004, MR 0699085 |
| Reference:
|
[11] RIEČAN J.: On the Kolmogorov consistency theorem for Riesz space valued measures.Acta Math. Univ. Comenian. 48-49 (1986), 173-180. Zbl 0626.60007, MR 0885331 |
| Reference:
|
[12] ŠIPOŠ J.: On extension of group valued measures.Math. Slovaca 40 (1990), 279-286. Zbl 0760.28007, MR 1094781 |
| Reference:
|
[13] VOLAUF P.: On extension of maps with values in ordered spaces.Math. Slovaca 30, (1980), 351-361. Zbl 0448.28007, MR 0595295 |
| Reference:
|
[14] VOLAUF P.: On various notions of regularity in ordered spaces.Math. Slovaca 35 (1985).127-130. Zbl 0597.28017, MR 0795006 |
| Reference:
|
[15] VOLAUF P.: On the lattice group valued submeasures.Math. Slovaca 40 (1990). 107-411. Zbl 0760.28008, MR 1120971 |
| Reference:
|
[16] VOLAUF P.: Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups.Tatra Moutains Math. Publ. 3 (1993), 237-244. Zbl 0820.28006, MR 1278538 |
| Reference:
|
[17] WRIGHT J. D. M.: The measure extension problem for vector lattices.Ann. Inst. Fourier (Grenoble) 21 (1971), 65-85. Zbl 0215.48101, MR 0330411 |
| Reference:
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[18] WRIGHT J. D. M.: An algebraic characterization of vector lattices with the Borel regularity property.J. London Math. Soc. (2) 7 (1973), 277-285. Zbl 0266.46036, MR 0333116 |
| Reference:
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[19] WRIGHT J. D. M.: Measures with values in partially ordered spaces: regularity and $\sigma$-additivity.In: Measure Theory. Lecture Notes in Math. 541 (D. Kozlov, A. Bellow, eds.). Springer, Berlin-New York, 1976, pp. 267-276. Zbl 0357.28011, MR 0450506 |
| Reference:
|
[20] WRIGHT J. D. M.: Sur certain espaces vectoriels reticules.C.R. Acad. Sc. Paris 290 (1990), 169-170. MR 0564152 |
| . |
