On measures invariant under given homeomorphism group of a uniform space A generalization of Haar measure

Yoshimichi MIBU

doi:10.2969/jmsj/01040405

On measures invariant under given homeomorphism group of a uniform space

A generalization of Haar measure

Yoshimichi MIBU

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JOURNAL FREE ACCESS

1958 Volume 10 Issue 4 Pages 405-429

DOI https://doi.org/10.2969/jmsj/01040405

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Published: 1958 Received: May 10, 1958 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Weil, Sur les structures uniformes, Paris, 1935.
2) A. Haar, Der Massbegriff in der Theorie der kontinuierlichen Gruppen, Ann. of Math., 34 (1933).
3) J. V. Neumann, Zum Haarschen Mass in topologischen Gruppen, Comp. Math., 1, 1934; The uniqueness of Haar's measure, Recueil Math. Moscou, 1 (43), 1936.
4) S. Kakutani, On the uniqueness of Haar's measure, Proc. Imp. Acad. Tokyo, 14 (1938).
5) K. Kodaira, Uber die Beziehung zwischen den Massen und den Topologien in einer Gruppe, Proc. Phys-Math. Soc. Japan, 3 (23), 1941; Uber die Gruppe der messbaren Abbildungen. Proc. Imp. Acad. Tokyo, 17 (1941).
6) A. Well, L'intégration dans les groupes topologiques et ses applications, Paris, 1940.
7) P. Alexandroff, Moore-Smith convergence in general topology.
8) S. Saks, Theory of the integral, Warsaw, 1938.
9) G. Birkhoff, Moore-Smith convergence in general topology, Ann. of Math., 33 (1937).
10) S. Banach, Theorie des operations linéaires, Warszawa 1932.
11) D. Raikov, A new proof of the uniqueness of Haar's measure, Doklady Acad. Sci. Urss (N. S), 34 (1942).
12) Y. Mibu, A generalization of Haar's measure, Proc. Imp. Acad. Tokyo, 20 (1946).
13) P. R. Halmos, Measure theory, Now York, Van Nostrand, 1950.

Right : [1] A. Weil, Sur les structures uniformes, Paris, 1935.
[2] A. Haar, Der Massbegriff in der Theorie der kontinuierlichen Gruppen, Ann. of Math., 34 (1933).
[3] J. v. Neumann, Zum Haarschen Mass in topologischen Gruppen, Comp. Math., 1, 1934; The uniqueness of Haar's measure, Recueil Math. Moscou, 1 (43), 1936.
[4] S. Kakutani, On the uniqueness of Haar's measure, Proc. Imp. Acad. Tokyo, 14 (1938).
[5] K. Kodaira, Uber die Beziehung zwischen den Massen und den Topologien in einer Gruppe, Proc. Phys-Math. Soc. Japan, 3 (23), 1941; Uber die Gruppe der messbaren Abbildungen. Proc. Imp. Acad. Tokyo, 17 (1941).
[6] A. Well, L'intégration dans les groupes topologiques et ses applications, Paris, 1940.
[7] P. Alexandroff, Moore-Smith convergence in general topology.
[8] S. Saks, Theory of the integral, Warsaw, 1938.
[9] G. Birkhoff, Moore-Smith convergence in general topology, Ann. of Math., 33 (1937).
[10] S. Banach, Theorie des operations linéaires, Warszawa 1932.
[11] D. Raikov, A new proof of the uniqueness of Haar's measure, Doklady Acad. Sci. Urss (N. S), 34 (1942).
[12] Y. Mibu, A generalization of Haar's measure, Proc. Imp. Acad. Tokyo, 20 (1946).
[13] P. R. Halmos, Measure theory, Now York, Van Nostrand, 1950.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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