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Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups

In: Tatra Mountains Mathematical Publications, vol. 3, no. 2
Peter Volauf
Detaily:
Rok, strany: 1993, 237 - 244
O článku:
Alexandrov and Kolmogorov theorems for Riesz space valued measures were discussed in [E. Hrachovina: A generalization of the Kolmogorov consistency theorem for vector measures, Acta Math. Univ. Comenian. 54–55 (1988), 141–145] and [B. Riečan: On the Kolmogorov consistency theorem for Riesz space valued measures, Acta Univ. Comenian. 48–49 (1986), 173–180]. The relations between the regularity and countable additivity for measures with values in partially ordered vector spaces were studied in [J. D. M. Wright: Measures with values in partially ordered spaces: regularity and $σ$-additivity, Measure Theory, Lecture Notes in Math. 541 (D. Kozlow, A. Bellow, eds.), Springer-Verlag, 1975, 267–276]. The goal of this note is to suggest the concept of the regularity of $μ$ which gives the desired results for partially ordered group valued measures.
Ako citovať:
ISO 690:
Volauf, P. 1993. Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups. In Tatra Mountains Mathematical Publications, vol. 3, no.2, pp. 237-244. 1210-3195.

APA:
Volauf, P. (1993). Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups. Tatra Mountains Mathematical Publications, 3(2), 237-244. 1210-3195.