On compact group-valued measures
Mathematica Slovaca (1996)
- Volume: 46, Issue: 1, page 53-62
- ISSN: 0232-0525
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topVolauf, Peter. "On compact group-valued measures." Mathematica Slovaca 46.1 (1996): 53-62. <http://eudml.org/doc/34425>.
@article{Volauf1996,
author = {Volauf, Peter},
journal = {Mathematica Slovaca},
keywords = {po-group; l-group; group-valued measure; regular measure; compact measure},
language = {eng},
number = {1},
pages = {53-62},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On compact group-valued measures},
url = {http://eudml.org/doc/34425},
volume = {46},
year = {1996},
}
TY - JOUR
AU - Volauf, Peter
TI - On compact group-valued measures
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 1
SP - 53
EP - 62
LA - eng
KW - po-group; l-group; group-valued measure; regular measure; compact measure
UR - http://eudml.org/doc/34425
ER -
References
top- BERNAU S. J., Unique representation of Archimedean lattice groups and normal Archimedean lattice rings, Proc. London Math. Soc. (3) 15 (1965), 599-631. (1965) MR0182661
- BIRKHOFF G., Lattice Theory, Amer. Math. Soc, Providence, R. I.-1967. (1967) Zbl0153.02501MR0227053
- FREMLIN D. H., A direct proof of the Mathes-Wright integral extension theorem, J. London Math. Soc. (2) 11 (1975), 276-284. (1975) MR0380345
- HRACHOVINA E., A generalization of the Kolmogorov consistency theorem for vector measures, Acta Math. Univ. Comenian. 54-55 (1988), 141-145. (1988) Zbl0723.28004MR1083208
- JAMESON G., Ordered Linear Spaces, Lecture Notes in Math. 141, Springer, Berlin-New York, 1970. (1970) Zbl0196.13401MR0438077
- LUXEMBURG W. A.-ZAANEN A. C., Riesz Spaces I, North Holland, Amsterdam, 1971. (1971)
- MARCZEWSKI E., On compact measures, Fund. Math. 40 (1953), 113-124. (1953) Zbl0052.04902MR0059994
- RIEČAN B., On the lattice group valued measures, Časopis Pěst. Mat. 101 (1976), 343-349. (1976) MR0499072
- RIEČAN B., Notes on lattice-valued measures, Acta Math. Univ. Comenian. XLII-XLIII (1983), 181-192. (1983) Zbl0568.28010MR0740746
- RIEČAN B., On measures and integrals with values in ordered groups, Math. Slovaca 33 (1983), 153-163. (1983) Zbl0519.28004MR0699085
- RIEČAN J., On the Kolmogorov consistency theorem for Riesz space valued measures, Acta Math. Univ. Comenian. 48-49 (1986), 173-180. (1986) Zbl0626.60007MR0885331
- ŠIPOŠ J., On extension of group valued measures, Math. Slovaca 40 (1990), 279-286. (1990) Zbl0760.28007MR1094781
- VOLAUF P., On extension of maps with values in ordered spaces, Math. Slovaca 30, (1980), 351-361. (1980) Zbl0448.28007MR0595295
- VOLAUF P., On various notions of regularity in ordered spaces, Math. Slovaca 35 (1985).127-130. (1985) Zbl0597.28017MR0795006
- VOLAUF P., On the lattice group valued submeasures, Math. Slovaca 40 (1990). 107-411. (1990) Zbl0760.28008MR1120971
- VOLAUF P., Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups, Tatra Moutains Math. Publ. 3 (1993), 237-244. (1993) Zbl0820.28006MR1278538
- WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier (Grenoble) 21 (1971), 65-85. (1971) Zbl0215.48101MR0330411
- WRIGHT J. D. M., An algebraic characterization of vector lattices with the Borel regularity property, J. London Math. Soc. (2) 7 (1973), 277-285. (1973) Zbl0266.46036MR0333116
- WRIGHT J. D. M., Measures with values in partially ordered spaces: regularity and -additivity, In: Measure Theory. Lecture Notes in Math. 541 (D. Kozlov, A. Bellow, eds.). Springer, Berlin-New York, 1976, pp. 267-276. (1976) Zbl0357.28011MR0450506
- WRIGHT J. D. M., Sur certain espaces vectoriels reticules, C.R. Acad. Sc. Paris 290 (1990), 169-170. (1990) MR0564152
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