Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

In this paper we determine the relationship between the spectra of a continuous contraction semigroup on Hilbert space and properties of the resolvent of its infinitesimal generator. The methods rely ...

We show that the translation operator T : f(z) → f(z + 1), acting on certain Hilbert spaces consisting of entire functions of slow growth, is hypercyclic in the sense that for some function f in the ...