M. Adler

collaborators

3 papers

math.FA2015

A semigroup approach to the numerical range of operators on Banach spaces

Martin Adler, Waed Dada, Agnes Radl

We introduce the numerical spectrum $σ_{n} (A) \subset C$ of an (unbounded) linear operator $A$ on a Banach space $X$ and study its properties. Our definition is closely relat…

math.FA2015

Asymptotic properties of $C_{0}$ -semigroups under perturbations

Martin Adler

For a given $C_{0}$ -semigroup $(T (t))_{t \geq 0}$ we consider Staffans-Weiss perturbations $(B, C)$ of its generator as studied in [1] and investigate the robustness of asymptotic prop…

math.FA2015

Perturbation of Analytic Semigroups and Applications to Partial Differential Equations

Martin Adler, Miriam Bombieri, Klaus-Jochen Engel

In a recent paper we presented a general perturbation result for generators of $C_{0}$ -semigroups. The aim of the present paper is to replace, in case the unperturbed semigroup is an…

A semigroup approach to the numerical range of operators on Banach spaces

Asymptotic properties of C0​-semigroups under perturbations

Perturbation of Analytic Semigroups and Applications to Partial Differential Equations

Asymptotic properties of $C_{0}$ -semigroups under perturbations