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math.OC2006
Weighted Admissibility and Wellposedness of linear systems in Banach spaces
Bernhard H. Haak, Peer Christian Kunstmann
We study linear control systems in infinite--dimensional Banach spaces governed by analytic semigroups. For and $α\in\RR$ we introduce the notion of --admissi…
math.FA2006
A stochastic Datko-Pazy theorem
Bernhard Haak, Jan van Neerven, Mark Veraar
Let be a Hilbert space and a Banach space. In this note we present a sufficient condition for an operator to be --radonifying in terms of Riesz sequences in…