Skip Navigation

Bulletin of the London Mathematical Society 1987 19(6):551-558; doi:10.1112/blms/19.6.551
© 1987 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Calvert, B.
Right arrow Articles by Kartsatos, A. G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

On the Compactness of the Nonlinear Evolution Operator in a Banach Space

Bruce Calvert and Athanassios G. Kartsatos

Department of Mathematics and Statistics, The University of Auckland Private Bag, Auckland, New Zealand
Department of Mathematics, University of South Florida Tampa, Florida 33620, USA

Let X be a real Banach space and let A(t): X -> 2x be dissipative for all t{varepsilon}(0, T). Assume that {A(t)} generates an evolution operator U(t, s) of type {varepsilon}(D, {omega}, f). Necessary and sufficient conditions are given for the compactness of U(t, s) for 0 ≤ s < t < T.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.