6533b833fe1ef96bd129bfc5
RESEARCH PRODUCT
Norm continuity and related notions for semigroups on Banach spaces
Josep MartínezOscar Blascosubject
Sobolev spaceDiscrete mathematicsPure mathematicsMathematics::Operator AlgebrasGeneral MathematicsBanach spaceInterpolation spaceBanach manifoldLp spaceReflexive spaceC0-semigroupDual normMathematicsdescription
We find some conditions on a c0-semigroup on a Banach space and its resolvent connected with the norm continuity of the semigroup. We use them to get characterizations of norm continuous, eventually norm continuous and eventually compact semigroups on Hilbert spaces in terms of the growth of the resolvent of their generator.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-06-01 | Archiv der Mathematik |