Geodesic
Some thoughts about Segal's ergodic theorem
Daniel W. Stroock1
1 M.I.T. 2-272 Cambridge, MA 02139, U.S.A.
Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 89-105.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves.
DOI : 10.4064/cm118-1-4
Keywords: fifty years ago irving segal proved theorem which leads characterization those orthogonal transformations hilbert space which induce ergodic transformations because segal did present his result which made readily accessible specialists ergodic theory difficult appreciate what had done purpose note state prove segals result which hope win recognition which deserves

Daniel W. Stroock 1

1 M.I.T. 2-272 Cambridge, MA 02139, U.S.A. 
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Daniel W. Stroock. Some thoughts about Segal's ergodic theorem. Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 89-105. doi : 10.4064/cm118-1-4. http://geodesic.mathdoc.fr/articles/10.4064/cm118-1-4/

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