Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...

Composition operators, defined by the mapping f ↦ f ∘ φ where φ is a suitable self-map, constitute a vital class of operators in functional analysis. Their study using ergodic theory has shed light on ...

We prove that any composition operator with maximal norm on one of the weighted Bergman spaces $A_{\alpha}^2$ (in particular, on the space $A^{2} = A_{0}^2$) is ...

We study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener algebra of absolutely convergent Taylor series, which we call the Wiener-Dirichlet algebra. The central ...