Let $A$ be the infinitesimal generator of an exponentially stable, strongly continuous semigroup on a Hilbert space. We show that the powers of the Cayley transform of $A$ are bounded by a constant times $\log (n+1)$. The proof is based on Lyapunov equations.
|Place of Publication||Enschede|
|Publisher||University of Twente, Department of Applied Mathematics|
|Number of pages||9|
|Publication status||Published - Apr 2011|
|Publisher||Department of Applied Mathematics, University of Twente|