Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-22T14:19:24.279Z Has data issue: false hasContentIssue false

The Group of Eigenvalues of a Rank One Transformation

Published online by Cambridge University Press:  20 November 2018

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
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), 2936.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, 209227.Google Scholar
4. Osikawa, M., Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. 13(1977), 167172.Google Scholar