# American Institute of Mathematical Sciences

September  2013, 33(9): 4233-4237. doi: 10.3934/dcds.2013.33.4233

## Periodic points and periods for operators on hilbert space

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

Received  November 2010 Revised  February 2011 Published  March 2013

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.
Citation: P. Chiranjeevi, V. Kannan, Sharan Gopal. Periodic points and periods for operators on hilbert space. Discrete & Continuous Dynamical Systems - A, 2013, 33 (9) : 4233-4237. doi: 10.3934/dcds.2013.33.4233
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