On the spectral multiplicity of a class of finite rank transformations
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- by G. R. Goodson PDF
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Abstract:
The rank $M$ transformations, which Chacon called the simple approximations with multiplicity $M$, were shown by Chacon to have maximal spectral multiplicity at most $M$, although no example was given where this bound is attained for $M > 1$. In this paper, for each natural number $M > 1$, we show how to construct a simple approximation with multiplicity $M$ which is ergodic and has maximal spectral multiplicity equal to $M - 1$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 303-306
- MSC: Primary 47A35; Secondary 28D05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770541-8
- MathSciNet review: 770541