| Title:
|
On Stone-type extensions for group-valued measures (English) |
| Author:
|
Boccuto, Antonio |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
309-315 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B10 |
| idZBL:
|
Zbl 0857.28009 |
| idMR:
|
MR1361825 |
| . |
| Date available:
|
2009-09-25T11:08:15Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128818 |
| . |
| Reference:
|
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| Reference:
|
[2] ALIPRANTIS C. D., BURKINSHAW O.: Locally Solid Riesz Spaces.Academic Press, New York, 1978. Zbl 0402.46005, MR 0493242 |
| Reference:
|
[3] BERNAU S. J.: Unique representation of Archimedean lattice groups and normal Archimedean lattice rings.Proc. London Math. Soc. 15 (1965), 599-631. MR 0182661 |
| Reference:
|
[4] BOCCUTO A., CANDELORO D.: Sull'estensione alla Stone per medie invarianti.Preprint. |
| Reference:
|
[5] CELADA P.: Continuity properties of group-valued invariant measures.Preprint. Zbl 0839.43003, MR 1338261 |
| Reference:
|
[6] FILTER W.: Representation of Archimedean Riesz spaces - a survey.Preprint. MR 1307578 |
| Reference:
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[7] FREMLIN D. H.: A direct proof of the Matthes-Wright integral extension theorem.J. London Math. Soc. 11 (1975), 276-284. Zbl 0313.06016, MR 0380345 |
| Reference:
|
[8] HEWITT E., STROMBERG, K: Real and Abstract Analysis.Springer-Verlag, Berlin, 1965. Zbl 0137.03202, MR 0367121 |
| Reference:
|
[9] KATS M. P: On the continuation of vector measures.Sib. Math. J. 13 (1973), 802-809. |
| Reference:
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[10] LEBLANC L., FOX G. E.: On the extension of measure by the method of Borel.Canad. J. Math. 8 (1956), 516-523. Zbl 0073.27202, MR 0080132 |
| Reference:
|
[11] LOOMIS L. H.: An Introduction to Abstract Harmonic Analysis.D. Van Nostrand Company, Inc., New York, 1953. Zbl 0052.11701, MR 0054173 |
| Reference:
|
[12] LUXEMBURG W. A. J., ZAANEN A. C : Riesz Spaces. Vol. I.North-Holland Publishing Co., Amsterdam, 1971. Zbl 0231.46014, MR 0511676 |
| Reference:
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[13] SIKORSKI R.: Boolean Algebras.Springer-Verlag, New York, 1960. Zbl 0087.02503, MR 0126393 |
| Reference:
|
[14] SION M.: Outer measures with values in a topological group.Proc. London Math. Soc. 19 (1969), 89-106. Zbl 0167.14503, MR 0239039 |
| Reference:
|
[15] ŠIPOŠ J.: Extension of partially ordered group-valued measure-like set functions.Časopis Pěst. Mat. 108 (1983), 113-121. MR 0704058 |
| Reference:
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[16] ŠIPOŠ J.: On extension of group valued measures.Math. Slovaca 40 (1990), 279-286. Zbl 0760.28007, MR 1094781 |
| Reference:
|
[17] VOLAUF P.: Extension and regularity of l-group valued measures.Math. Slovaca 27 (1977), 47-53. MR 0476989 |
| Reference:
|
[18] VOLAUF P.: On the lattice group valued submeasures.Math. Slovaca 40 (1990), 407-411. Zbl 0760.28008, MR 1120971 |
| Reference:
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[19] WRIGHT J. D. M.: Stone-algebra-valued measures and integrals.Proc. London Math. Soc. 19 (1969), 107-122. Zbl 0186.46504, MR 0240276 |
| Reference:
|
[20] WRIGHT J. D. M.: The measure extension problem for vector lattices.Ann. Inst. Fourier 21 (1971), 65-85. Zbl 0215.48101, MR 0330411 |
| Reference:
|
[21] 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 |
| . |
