# Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces

@inproceedings{Haak2005AdmissibilityOU, title={Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces}, author={Bernhard H. Haak}, year={2005} }

- Published 2005

We study linear systems, described by operators A, B, C for which the state space X is a Banach space. We suppose that −A generates a bounded analytic semigroup and give conditions for admissibility of B and C corresponding to those in G. Weiss’ conjecture. The crucial assumptions on A are boundedness of an H∞–calculus or suitable square function estimates, allowing to use techniques recently developed by N. Kalton and L. Weis. For observation spaces Y or control spaces U that are not Hilbert… CONTINUE READING

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