5 citations · 6 across the 7 of their papers we have counts for
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Riesz bases of port-Hamiltonian systems
Birgit Jacob, Julia T. Kaiser, Hans Zwart
The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is s…
A Review on Realization Theory for Infinite-Dimensional Systems
Birgit Jacob, Hans Zwart
We give an introduction to the realisation theory for infinite-dimensional systems. That is, we show that for any function , analytic and bounded in the right half of the comple…
Equivalence between estimates for quasi-commutators and commutators
Hans Zwart
In this short note we show that under some mild conditions on the space and the operators, an estimate for needs only to be studied for invertible and e…
A law for cosine families with to
Felix L. Schwenninger, Hans Zwart
For being a cosine family on a unital normed algebra, we show that the estimate implies that …
Weakly admissible $H^{\infty}(\C_{-})$-calculus on general Banach spaces
Felix Schwenninger, Hans Zwart
We show that, given a Banach space and a generator of an exponentially stable -semigroup, a weakly admissible operator can be defined for any bounded, analytic fu…
Riesz basis for strongly continuous groups
Hans Zwart
Given a Hilbert space and the generator of a strongly continuous group on this Hilbert space. If the eigenvalues of the generator have a uniform gap, and if the span of the corresp…