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The Group of Eigenvalues of a Rank One Transformation

Published online by Cambridge University Press:  20 November 2018

J. R. Choksi  and
G. Nadkarni
J. R. Choksi
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 2K6
G. Nadkarni
Affiliation:
Department of Mathematics, University of Bombay, Vidyanagri, Bombay 400 098 India
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Abstract

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In this paper, several characterizations are given of the group of eigenvalues of a rank one transformation. One of these is intimately related to the corresponding expression for the maximal spectral type of a rank one transformation given in an earlier paper.

Keywords

28D0547A35

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 42 - 54
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Choksi, J. R. and Nadkarni, M. G., The maximal spectral type of a rank one transformation, Canad. Math. Bull. 37(1994), 29–36.Google Scholar
2. Doob, J. L., Stochastic Processes, Wiley Interscience, New York, 1953.Google Scholar
3. Ito, Y., Kamae, T. and Shiokawa, I., Point spectrum and Hausdorff dimension, Number Theory and Combinatorics, (eds. J. Akiyama et al), World Scientific Publishing Co. Tokyo, 1985, 209–227.Google Scholar
4. Osikawa, M., Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. 13(1977), 167–172.Google Scholar