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 ...

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 ...

Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

The Rocky Mountain Journal of Mathematics, Vol. 39, No. 5 (2009), pp. 1467-1496 (30 pages) In this expository paper, we describe the Weyl calculus for bounded, self-adjoint operators acting on a ...

We prove the existence of inertial manifolds for partial functional differential equation du(t)dt+Au(t)=F(t)ut+g(t,ut) under the conditions that the partial differential operator 𝐴 is positive such ...