Journal article
Perturbations of generators of C-0-semigroups and resolvent decay
- Abstract:
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We obtain new stability results for those properties of C0-semigroups which admit characterisation in terms of decay of resolvents of infinitesimal generators on vertical lines, e.g. analyticity, Crandall-Pazy differentiability or immediate norm continuity in the case of Hilbert spaces. As a consequence we get a generalisation of the Kato-Neuberger theorem on approximation of the identity. Finally, we present examples shedding a new light on resolvent characterisation of eventually differenti...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 208.9KB)
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- Publisher copy:
- 10.1016/j.jmaa.2010.01.048
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Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Journal website
- Volume:
- 367
- Issue:
- 2
- Pages:
- 434-443
- Publication date:
- 2010-07-15
- DOI:
- EISSN:
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1096-0813
- ISSN:
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0022-247X
- Source identifiers:
-
53384
Item Description
- Language:
- English
- Keywords:
- UUID:
-
uuid:1ea3aa0b-46cc-44aa-bc6b-cdf36ef4cbb2
- Local pid:
- pubs:53384
- Deposit date:
- 2012-12-19
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2010
- Notes:
- Copyright 2010 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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