Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Characterizations of contraction $C$-semigroups


Authors: Miao Li and Falun Huang
Journal: Proc. Amer. Math. Soc. 126 (1998), 1063-1069
MSC (1991): Primary 47D03
MathSciNet review: 1443839
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47D03

Retrieve articles in all journals with MSC (1991): 47D03


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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04243-9
PII: S 0002-9939(98)04243-9
Keywords: $C$-semigroups, $C_0$-semigroups, contraction, dissipative
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
Article copyright: © Copyright 1998 American Mathematical Society