Felix L. Schwenninger

activity

20122026

most citedInfinite-dimensional input-to-state stability and Orlicz spaces

104 citations · 288 across the 40 of their papers we have counts for

collaborators

Showing 2015 · math.FAShow all

4 papers · 2 filters

math.FA2015★ 6 cited

Functional calculus estimates for Tadmor-Ritt operators

Felix Schwenninger

We show $H^{\infty}$ -functional calculus estimates for Tadmor-Ritt operators (also known as Ritt operators), which generalize and improve results by Vitse. These estimates are in c…

math.FA2015

A $0 - 2$ law for cosine families with $lim sup$ to $\infty$

Felix L. Schwenninger, Hans Zwart

For $(C (t))_{t \in R}$ being a cosine family on a unital normed algebra, we show that the estimate $lim sup_{t \to \infty^{+}} ∥ C (t) - I ∥ < 2$ implies that $C (t) = I$ …

math.FA2015

Functional calculus for $C_{0}$ -semigroups using infinite-dimensional systems theory

Felix Schwenninger, Hans Zwart

In this short note we use ideas from systems theory to define a functional calculus for infinitesimal generators of strongly continuous semigroups on a Hilbert space. Among others,…

math.FA2015★ 6 cited

On measuring unboundedness of the $H^{\infty}$ -calculus for generators of analytic semigroups

Felix Schwenninger

We investigate the boundedness of the $H^{\infty}$ -calculus by estimating the bound $b (ε)$ of the mapping $H^{\infty} \to B (X)$ : $f\mapsto f(A)T(\varepsilo…

Functional calculus estimates for Tadmor-Ritt operators

A 0−2 law for cosine families with limsup to ∞

Functional calculus for C0​-semigroups using infinite-dimensional systems theory

On measuring unboundedness of the H∞-calculus for generators of analytic semigroups

A $0 - 2$ law for cosine families with $lim sup$ to $\infty$

Functional calculus for $C_{0}$ -semigroups using infinite-dimensional systems theory

On measuring unboundedness of the $H^{\infty}$ -calculus for generators of analytic semigroups