[KSCI] Korea Science Citation Index Service

Lee, Young Seop (Department of Mathematics Seoul Women's University)

Publication Information

Abstract

In this paper, we prove Trotter-Kato theorem in the weak topology if $X^*$ is a uniformly convex Banach space.

Keywords

Trotter-Kato theorem; weak topology; uniformly convex Banach spaces;

Citations & Related Records

1	T. Eisner, A. Sereny, On the weak analogue of the Trotter-Kato theorem, Taiwanese J. Math., 14 (2010), 1411-1416 DOI
2	K. Engel, R. Nagel, One-Parameter Semigroups for linear evolution equations, Springer, Berlin, 2000
3	G. Marinoschi, A Trotter-Kato Theorem in the weak topology and an application to a singular perturbed problem, J. Math. Anal. Appl., 386 (2012), 50-60 DOI ScienceOn
4	I. Miyadera, Nonlinear Semigroups, Amer. Math. Soc., Providence, Rhode Island, 1992
5	A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, 1983