A converse of Lotz’s theorem on uniformly continuous semigroups
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- by J. M. A. M. van Neerven PDF
- Proc. Amer. Math. Soc. 116 (1992), 525-527 Request permission
Abstract:
We prove the following partial converse to a theorem of Lotz: If every ${C_0}$-semigroup on a Banach lattice $E$ with quasi-interior point is uniformly continuous, then $E$ is isomorphic to a $C(K)$-space with the Grothendieck property.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 525-527
- MSC: Primary 47D03; Secondary 46B20, 47B38
- DOI: https://doi.org/10.1090/S0002-9939-1992-1097355-X
- MathSciNet review: 1097355