Periodic points and periods for operators on hilbert space

Sets of periods for chaotic linear operators

“…Concerning linear operators, the sets of periods for linear operators on C n , R n and 2 were characterized in [1], see also [23], and on a Hilbert space in [15].…”

Periodic points of solenoidal automorphisms in terms of inverse limits

“…The sets of periods and periodic points of a family of dynamical systems are well studied in literature. See for instance, [3], [6], [7], [8], [12], [17] and [18]. In this paper, we give a description of the sets of periodic points of automorphisms of a one dimensional solenoid i.e., we describe the set P (f ) = {x ∈ Σ : x is a periodic point of f }, where Σ is a one dimensional solenoid and f is an automorphism of Σ.…”