Geodesic
On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space
Studia Mathematica, Tome 130 (1998) no. 1, pp. 1-7

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-130-1-1-7
Keywords: dissipative operators, local spectrum, semigroup of contraction operators

Driss Drissi 1

1 
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Driss Drissi. On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space. Studia Mathematica, Tome 130 (1998) no. 1, pp. 1-7. doi: 10.4064/sm-130-1-1-7

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