ArticleOriginal scientific text
Title
On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space
Authors 1
Affiliations
- Department of Mathematics and Computer Sciences, Faculty of Sciences, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
Using [1], which is a local generalization of Gelfand's result for powerbounded operators, we first give a quantitative local extension of Lumer-Philips' result that states conditions under which a quasi-nilpotent dissipative operator vanishes. Secondly, we also improve Lumer-Phillips' theorem on strongly continuous semigroups of contraction operators.
Keywords
dissipative operators, local spectrum, semigroup of contraction operators
Bibliography
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Pages:
1-7
Main language of publication
English
Received
1996-02-20
Accepted
1996-09-24
Published
1998
Exact and natural sciences