Jacob, B. and Partington, J.R. (2001) The Weiss conjecture on admissibility of observation operators for contraction semigroups. Integral Equations and Operator Theory, 40 (2). pp. 231-243. ISSN 0378-620X
Abstract
We prove the conjecture of George Weiss for contraction semigroups on Hilbert spaces, giving a characterization of infinite-time admissible observation functionals for a contraction semigroup, namely that such a functional C is infinite-time admissible if and only if there is an M > 0 such that parallel to IC(sI - A)(-1)parallel to less than or equal to M/root Re s for all s in the open right half-plane. Here A denotes the infinitesimal generator of the semigroup. The result provides a simultaneous generalization of several celebrated results from the theory of Hardy spaces involving Carleson measures and Hankel operators.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright © 2001 Birkhauser Verlag. This is an author produced version of a paper published in Integral Equations and Operator Theory. This paper has been peer-reviewed but does not include the final publisher proof-corrections or journal pagination. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Sherpa Assistant |
Date Deposited: | 25 Oct 2005 |
Last Modified: | 28 Oct 2016 23:34 |
Published Version: | http://www.springerlink.com/openurl.asp?genre=arti... |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1007/BF01301467 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:759 |