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The Group of Eigenvalues of a Rank One Transformation

  • J. R. Choksi (a1) and G. Nadkarni (a2)

Abstract

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.

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Copyright

References

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1. Choksi, J. R. and Nadkarni, M. G., The maximal spectral type of a rank one transformation, Canad. Math. Bull. 37(1994), 2936.
2. Doob, J. L., Stochastic Processes, Wiley Interscience, New York, 1953.
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, 209227.
4. Osikawa, M., Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. 13(1977), 167172.
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Keywords

The Group of Eigenvalues of a Rank One Transformation

  • J. R. Choksi (a1) and G. Nadkarni (a2)

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