Chalendar, I, Esterle, J and Partington, JR (2015) Lower estimates near the origin for functional calculus on operator semigroups. Journal of Functional Analysis, 269 (6). pp. 1620-1635. ISSN 0022-1236
Abstract
This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a generator A of an operator semi- group defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Elsevier Inc. All rights reserved. This is an author produced version of a paper published in Journal of Functional Analysis. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | strongly continuous semigroup; functional calculus; Laplace transform; maximum principle |
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: | 16 Jul 2015 15:03 |
Last Modified: | 25 Oct 2016 13:49 |
Published Version: | http://dx.doi.org/10.1016/j.jfa.2015.07.005 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jfa.2015.07.005 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:88015 |