Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On the spectral multiplicity of a class of finite rank transformations

Author: G. R. Goodson
Journal: Proc. Amer. Math. Soc. 93 (1985), 303-306
MSC: Primary 47A35; Secondary 28D05
MathSciNet review: 770541
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A35, 28D05

Retrieve articles in all journals with MSC: 47A35, 28D05

Additional Information

Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society