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http://dx.doi.org/10.11568/kjm.2014.22.2.349

A CONVERGENCE OF C0 SEMIGROUPS IN THE WEAK TOPOLOGY  

Lee, Young Seop (Department of Mathematics Seoul Women's University)
Publication Information
Korean Journal of Mathematics / v.22, no.2, 2014 , pp. 349-354 More about this Journal
Abstract
In this paper, we establish convergence of contraction $C_0$ semigroups in the weak topology on a general Banach space. We remove the restriction on a Banach space X and weaken the condition on resolvents of generators in the previous results [4, 5].
Keywords
contraction $C_0$ semigroup; weak topology; convergence; equicontinuity; Lapalce transform;
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Times Cited By KSCI : 1  (Citation Analysis)
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