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Trotter_Kato theorem in the weak topology

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

Abstract

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

참고문헌 (5)

  1. T. Eisner, "On the weak analogue of the Trotter-Kato theorem", Tai- wanese J. Math., 14, pp.1411~1416 (2010)
  2. K. Engel, "One-Parameter Semigroups for linear evolution equations" (2000), Springer
  3. G. Marinoschi, "Theorem in the weak topology and an application to a singular perturbed problem", J. Math. Anal. Appl., 386, pp.50~60 (2012)
  4. I. Miyadera, "Nonlinear Semigroups" (1992), Amer. Math. Soc.
  5. A. Pazy, "Semigroups of linear operators and applications to partial di erential equations" (1983), Springer-Verlag

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