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A strong generic ergodicity property of unitary and self-adjoint operators

A strong generic ergodicity property of unitary and self-adjoint operators

Consider the conjugacy action of the unitary group of an infinite-dimensional separable Hilbert space on the unitary operators. A strong generic ergodicity property of this action is established, by showing that any conjugacy invariants assigned in a definable way to unitary operators, and taking as values countable structures up to …