Arcs defined by one-parameter semigroups of operators in Banach spaces with the Radon-Nikodym property
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- by Charles L. Byrne PDF
- Proc. Amer. Math. Soc. 53 (1975), 353-355 Request permission
Abstract:
It is shown that a recent theorem of Junghenn and Taam concerning the domain of the infinitesimal generator of a strongly continuous one-parameter semigroup of operators on a reflexive, locally convex topological vector space remains valid if the domain of the operators is a Banach space with the Radon-Nikodym property. A partial result is obtained for general Banach spaces.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 353-355
- MSC: Primary 47D05; Secondary 46B05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0385635-2
- MathSciNet review: 0385635