Journal article

Local spectra and individual stability of uniformly bounded C-0-semigroups

Abstract:: We study the asymptotic behaviour of individual orbits T(·)x of a uniformly bounded Co-semigroup {T(t)}t≥o with generator A in terms of the singularities of the local resolvent (λ -A)-1x on the imaginary axis. Among other things We prove individual versions of the Arendt-Batty-Lyubich-Vu theorem and the Katznelson-Tzafriri theorem. ©1998 American Mathematical Society.

Publication status:: Published

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Share
Cite

Cite this record

APA Style

Batty, C., Van Neerven, J., & Rabiger, F. (1998). Local spectra and individual stability of uniformly bounded C-0-semigroups. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350(5), 2071–2085.

MLA Style

Batty, C, et al. “Local Spectra and Individual Stability of Uniformly Bounded C-0-Semigroups.” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 350, no. 5, 1998, pp. 2071–85.

Chicago Style

Batty, C, J Van Neerven, and F Rabiger. 1998. “Local Spectra and Individual Stability of Uniformly Bounded C-0-Semigroups.” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 350 (5): 2071–85.
Print

Access Document

Publisher copy:: 10.1090/S0002-9947-98-01919-9

Authors

+ Batty, C More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Van Neerven, J More by this author

Role:: Author

+ Rabiger, F More by this author

Role:: Author

Journal:: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY More from this journal
Volume:: 350
Issue:: 5
Pages:: 2071-2085
Publication date:: 1998-05-01
DOI:: 10.1090/S0002-9947-98-01919-9
ISSN:: 0002-9947

Language:: English
Keywords:: C-0-semigroup

countable

Laplace transform

local spectrum

singular set

orbit

stability
Pubs id:: pubs:27938
UUID:: uuid:e8ed2595-4573-42ad-986b-7f862b134943
Local pid:: pubs:27938
Source identifiers:: 27938
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_e8ed2595457342ad986b7f862b134943

Terms of use

Copyright date:: 1998

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP