On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space
Drissi, Driss
Studia Mathematica, Tome 129 (1998), p. 1-7 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216538 
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Drissi, Driss. On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space. Studia Mathematica, Tome 129 (1998) pp. 1-7. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i1p1bwm/

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