Chalendar, I and Partington, JR orcid.org/0000-0002-6738-3216 (2017) Compactness, differentiability and similarity to isometry of composition semigroups. In: Botelho, F, King, R and Rao, TSSRK, (eds.) Problems and Recent Methods in Operator Theory. Contemporary Mathematics, 687 . American Mathematical Society , Providence, Rhode Island, USA , pp. 67-73. ISBN 978-1-4704-2772-6
Abstract
This paper provides sufficient conditions for eventual compactness and differentiability of C0-semigroups on the Hardy and Dirichlet spaces on the unit disc with a prescribed generator of the form Af = Gf'. Moreover, the isometric semigroups (or isometric up to a similarity) of composition operators on the Hardy space are characterized in terms of G.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2017 American Mathematical Society. First published in Contemporary Mathematics, published by the American Mathematical Society. |
Keywords: | compact semigroup, differentiable semigroup, isometric semigroup, semiflow, Hardy space, Dirichlet space, composition operators |
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) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 May 2016 15:55 |
Last Modified: | 08 Aug 2017 18:39 |
Status: | Published |
Publisher: | American Mathematical Society |
Series Name: | Contemporary Mathematics |
Identification Number: | 10.1090/conm/687/13726 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96982 |