Korean Journal of Mathematics
- Volume 7 Issue 2
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- Pages.219-226
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- 1999
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
CONVERGENCE OF EXPONENTIALLY BOUNDED C-SEMIGROUPS
- Lee, Young S. (Department of Mathematics Seoul Women's University)
- Received : 1999.06.12
- Published : 1999.09.20
Abstract
In this paper, we discuss convergence theorem for exponentially bounded C-semigroups. We establish the convergence of the sequence of generators of exponentially bounded C-semigroups in some sense implies the convergence of the sequence of the corresponding exponentially bounded C-semigroups. Under the assumption that R(C) is dense, we show the equivalence between the convergence of generators and exponentially bounded C-semigroups.