Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T10:30:33.632Z Has data issue: false hasContentIssue false
  • English
  • Français

Projective limit of infinite Radon measures

Published online by Cambridge University Press:  09 April 2009

Susumu Okada  and
Yoshiaki Okazaki
Susumu Okada
Affiliation:
Department of Mathematics, Institute of Advanced Studies, The Australian National University, P.O. Box 4, Canberra, A.C.T. 2600, Australia.
Yoshiaki Okazaki
Affiliation:
Department of Mathematics, Kyushu University33, Fukuoka 812, Japan.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that for any self-consistent sequentially maximal system {μα} of infinite (perhaps non-σ-finite) Radon measures, the projective limit of {μα} exists.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 3 , May 1978 , pp. 328 - 331
Copyright
Copyright © Australian Mathematical Society 1978

References

Amemiya, I., Okada, S. and Okazaki, Y. (to appear), ‘Pre-Radon measures on topological spaces’.Google Scholar
Bochner, S. (1955), Harmonic analysis and the theory of probability (University of California Press).CrossRefGoogle Scholar
Bourbaki, N. (1969), Integration Chapter 9 (Hermann, Paris).Google Scholar
Moran, W. (1968), ‘The additivity of measures on completely regular spaces’, J. London Math. Soc. 43, 633–639.CrossRefGoogle Scholar
Yamasaki, Y. (1975), ‘Kolmogorov's extension theorem for infinite measures’, Publ. RIMS. Kyoto Univ. 10, 381–411.CrossRefGoogle Scholar