On measures invariant under given homeomorphism group of a uniform space
A generalization of Haar measure
ジャーナル
フリー
1958 年 10 巻 4 号 p. 405-429
詳細
- Published: 1958 Received: 1958/05/10 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: 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.
訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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