ON A GENERALIZATION OF LUMER-PHILLIPS THEOREM FOR DISSIPATIVE OPERATORS IN A BANACH-SPACE

Authors
DRISSI D
Citation
D. Drissi, ON A GENERALIZATION OF LUMER-PHILLIPS THEOREM FOR DISSIPATIVE OPERATORS IN A BANACH-SPACE, Studia Mathematica, 130(1), 1998, pp. 1-7
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
130
Issue
1
Year of publication
1998
Pages
1 - 7
Database
ISI
SICI code
0039-3223(1998)130:1<1:OAGOLT>2.0.ZU;2-G
Abstract
Using [1], which is a local generalization of Gelfand's result for pow er-bounded operators, we first give a quantitative local extension of Lumer-Phillips' result that states conditions under which a quasi-nilp otent dissipative operator vanishes. Secondly, we also improve Lumer-P hillips' theorem on strongly continuous semigroups of contraction oper ators.