Characterizations of contraction $C$-semigroups
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- by Miao Li and Falun Huang PDF
- Proc. Amer. Math. Soc. 126 (1998), 1063-1069 Request permission
Abstract:
A $C$-semigroup $\{T(t)\}_{t\ge 0}$ is of contractions if $\|T(t)x\|\le \|Cx\|$ for $t\ge 0$, $x\in X$. Using the Hille-Yosida space, we completely characterize the generators of contraction $C$-semigroups. We also give the Lumer-Phillips theorem for $C$-semigroups in several special cases.References
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Additional Information
- Miao Li
- Affiliation: Department of Mathematics, Sichuan Union University, Chengdu 610064, People’s Republic of China
- Falun Huang
- Affiliation: Department of Mathematics, Sichuan Union University, Chengdu 610064, People’s Republic of China
- Received by editor(s): June 13, 1996
- Received by editor(s) in revised form: September 23, 1996
- Additional Notes: This project was supported by the National Science Foundation of China
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1063-1069
- MSC (1991): Primary 47D03
- DOI: https://doi.org/10.1090/S0002-9939-98-04243-9
- MathSciNet review: 1443839