The (𝒰 + 𝒦)-orbit of a Hilbert space operator T is defined as (𝒰 + 𝒦)(T) = {R−1TR : R invertible of the form unitary plus compact}. In previous work, P. S. Guinand and the present author have ...
We give characterizations for finite collections of disjoint hypercyclic weighted shift operators, both in the unilateral and bilateral cases. It follows that some well-known results about the ...