Periodic points and periods for operators on hilbert space
Periodic points and periods for operators on hilbert space
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Date
2013-09-01
Authors
Chiranjeevi, P.
Kannan, V.
Gopal, Sharan
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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 ⊂ ℕ, M ⊂ 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.
Description
Keywords
Bounded linear operator,
Dynamical system,
Hilbert space,
Periodic point
Citation
Discrete and Continuous Dynamical Systems- Series A. v.33(9)