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Transformations that do not accept a finite invariant measure
Author(s):
Arshag
Hajian;
Yuji
Ito
Journal:
Bull. Amer. Math. Soc.
84
(1978),
417-427.
MSC (1970):
Primary 28A65, 28A70, 43A05
MathSciNet review:
0466487
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References |
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Additional information
References:
- 1.
- M. H. Ellis and N. A. Friedman, On eventually weakly wandering sequences (to appear). MR 517260
- 2.
- M. H. Ellis and N. A. Friedman, Gap sequences and eventually weakly wandering sequences (to appear). MR 517261
- 3.
- A. Hajian, Strongly recurrent transformations, Pacific J. Math. 14 (1964), 517-523. MR 165067
- 4.
- A. Hajian, On ergodic transformations defined on an infinite measure space, Proc. Amer. Soc 16 (1965), 45-48. MR 169987
- 5.
- A. Hajian and Y. Ito, Iterates of measurable transformations and Markov operators, Trans. Amer. Math. Soc. 17 (1965), 371-386. MR 209442
- 6.
- A. Hajian and Y. Ito, Weakly wandering and related sequences, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 315-324. MR 222252
- 7.
- A. Hajian, Y. Ito and S. Kakutani, Invariant measures and orbits of dissipative transformations, Advances in Math. 9 (1972), 52-65. MR 302860
- 8.
- A. Hajian, Y. Ito and S. Kakutani, Orbits, sections and induced transformations, Israel J. Math. 18 (1974), 97-115. MR 369658
- 9.
- A. Hajian, Y. Ito and S. Kakutani, Full groups and a theorem of Dye, Advances in Math. 17 (1975), 48-59. MR 374384
- 10.
- A. Hajian and S. Kakutani, Weakly wandering sets and invariant measures, Trans. Amer. Math. Soc. 110 (1964), 136-151. MR 154961
- 11.
- A. Hajian and S. Kakutani, An example of an ergodic m.p.t. defined on an infinite measure space, Proc. on Ergodic Theory, Lecture Notes in Math., vol. 160, Springer-Verlag, Berlin and New York, 1970. MR 269807
- 12.
- T. Hamachi and M. Osikawa, On zero type and positive type transformations with infinite invariant measure, Mem. Fac. Sci. Kyushu University 25 (1971), 280-295. MR 306454
- 13.
- E. Hopf, Theory of measures and invariant integrals, Trans. Amer. Math. Soc. 34 (1932), 373-393. MR 1501643
- 14.
- S. Kakutani, Classification of ergodic groups of automorphisms, Proc. on Func. Anal. and Related Topics, Tokyo, April 1969, pp. 392-397.
- 15.
- S. Kakutani, A problem in equidistribution, Conference in Measure Theory, Oberwolfach 1975, Lecture Notes in Math., vol. 541, Springer-Verlag, Berlin and New York, 1975. MR 457678
- 16.
- U. Krengel and L. Jones, Transformations without a finite invariant measure, Advances in Math. 12 (1974), 275-295. MR 340548
- 17.
- U. Krengel and L. Sucheston, On mixing in infinite measure spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 13 (1969), 150-164. MR 254215
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Additional Information:
DOI:
10.1090/S0002-9904-1978-14482-6
PII:
S 0002-9904(1978)14482-6
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