Korean J. Math. Vol. 22 No. 2 (2014) pp.349-354
DOI: https://doi.org/10.11568/kjm.2014.22.2.349

Convergence of $C_0$ semigroups in the weak topology

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Published: Jun 24, 2014
Keywords:
contraction $C_{0}$ semigroup, weak topology, convergence, equicontinuity, Lapalce transform
Mathematics Subject Classification:
47D06, 34K07

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Young Seop Lee
Department of Mathematics Seoul Women's University

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].


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Supporting Agencies

This work was supported by a research grant from Seoul Women's University(2013).

References

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