On the Dynamics of a General Unitary Operator
نویسنده
چکیده
A unitary operator U acting on the weakly compact unit ball B of a Hilbert space H gives a topological dynamical system (B, V). We prove in this note that for every ergodic u-invariant measure m, the dynamical system (B, U, m) is conjugated to a strictly ergodic group translation. Especially, the topological entropy of (B, U) is zero. As an application, it follows that any flow on the unit ball given by a Schriidinger equation ih$ = I,$ has zero topological entropy.
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تاریخ انتشار 2003