Periodic points and periods for operators on hilbert space

P. Chiranjeevi; V. Kannan; Sharan Gopal

doi:10.3934/dcds.2013.33.4233

Article Contents

2013, Volume 33, Issue 9: 4233-4237. Doi: 10.3934/dcds.2013.33.4233

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Periodic points and periods for operators on hilbert space

1.
School of Mathematics and Statistics, University of Hyderabad, Hyderabad

Received: October 31, 2010

Revised: January 31, 2011

Published: August 2013

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Abstract

We characterize the sets of periodic points of bounded linear operators on a Hilbert space $H$. We also find the pairs $(A,M)$, where $A \subset \mathbb{N}$, $M \subset H$ such that there exists a bounded linear operator $T$ on $H$ with $A$ as the set of periods and $M$ as the set of periodic points.

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Mathematics Subject Classification: Primary: 37B99, 46C05; Secondary: 15A04.

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References

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