Ergodic affine maps of locally compact groups

Masahito DATEYAMA; Tatsuro KASUGA

doi:10.2969/jmsj/03730363

Masahito DATEYAMA, Tatsuro KASUGA

著者情報

ジャーナルフリー

1985 年 37 巻 3 号 p. 363-372

DOI https://doi.org/10.2969/jmsj/03730363

詳細

Published: 1985 Received: 1983/12/26 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) N. Aoki, Dense orbits of automorphisms and compactness of groups, to appear in Topology Appl.
2) N. Aoki and Y. Ito, Ergodic properties of affine transformations, J. Math. Anal. Appl., 38 (1972), 447-453.
3) N. Aoki, On homeomorphisms with the pseudo-orbit tracing property, Tokyo J. Math., 6 (1983), 329-334.
4) N. Aoki, The splitting of zero-dimensional automorphisms and its application, to appear in Colloq. Math.
5) E. M. Coven and W. L. Reddy, Positively expansive maps of compact manifolds, Global Theory of Dynamical Systems, Lecture Notes in Math., 819 (1980), Springer-Verlarg, 96-110.
6) S. G. Dani, Dense orbits of affine automorphisms and compactness of groups, J. London Math. Soc. (2), 25 (1982), 241-245.
7) P. R. Halmos, Lecture on Ergodic Theory, Publ. Math. Soc. Japan, Tokyo, 1956.
8) R. Kaufman and M. Rajagopalan, On automorphisms of a locally compact group, Michigan Math. J., 13 (1966), 373-374.
9) R. Mané, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
10) D. Montgomery and L. Zippin, Topological Transformation Groups, Interscience, New York, 1955.
11) M. Rajagopalan and B. M. Schreiber, Ergodic automorphisms and affine transformations, Proc. Japan Acad., 46 (1970), 633-636.
12) W. L. Reddy, Expansive maps on compact metric spaces, Topology Appl., 13 (1982),327-334.
13) T. S. Wu, Continuous automorphisms on locally compact groups, Math. Z., 96(1967), 256-258.
14) S. A. Yuzvinskii, Metric properties of automorphisms of locally compact commutativegroups, Sibirsk. Mat. Zh., 6 (1965), 224-247.
15) S. A. Yuzvinskii, Metric properties of automorphisms of a locally compact group,Russian Math. Surveys, 22 (1967), 47-52.

Right : [1] N. Aoki, Dense orbits of automorphisms and compactness of groups, to appear in Topology Appl.
[2] N. Aoki and Y. Ito, Ergodic properties of affine transformations, J. Math. Anal. Appl., 38 (1972), 447-453.
[3] N. Aoki, On homeomorphisms with the pseudo-orbit tracing property, Tokyo J. Math., 6 (1983), 329-334.
[4] N. Aoki, The splitting of zero-dimensional automorphisms and its application, to appear in Colloq. Math.
[5] E. M. Coven and W. L. Reddy, Positively expansive maps of compact manifolds, Global Theory of Dynamical Systems, Lecture Notes in Math., 819 (1980), Springer-Verlarg, 96-110.
[6] S. G. Dani, Dense orbits of affine automorphisms and compactness of groups, J. London Math. Soc. (2), 25 (1982), 241-245.
[7] P. R. Halmos, Lecture on Ergodic Theory, Publ. Math. Soc. Japan, Tokyo, 1956.
[8] R. Kaufman and M. Rajagopalan, On automorphisms of a locally compact group, Michigan Math. J., 13 (1966), 373-374.
[9] R. Mané, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
[10] D. Montgomery and L. Zippin, Topological Transformation Groups, Interscience, New York, 1955.
[11] M. Rajagopalan and B. M. Schreiber, Ergodic automorphisms and affine transformations, Proc. Japan Acad., 46 (1970), 633-636.
[12] W. L. Reddy, Expansive maps on compact metric spaces, Topology Appl., 13 (1982), 327-334.
[13] T. S. Wu, Continuous automorphisms on locally compact groups, Math. Z., 96 (1967), 256-258.
[14] S. A. Yuzvinskii, Metric properties of automorphisms of locally compact commutative groups, Sibirsk. Mat. Zh., 6 (1965), 224-247.
[15] S. A. Yuzvinskii, Metric properties of automorphisms of a locally compact group, Russian Math. Surveys, 22 (1967), 47-52.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）