APPROXIMATION AND CONVERGENCE OF ACCRETIVE OPERATORS

  • Koh, Young Mee (Department of Mathematics The University of Suwon) ;
  • Lee, Young S. (Department of Mathematics Seoul Woman's University)
  • Received : 1996.06.18
  • Published : 1996.09.15

Abstract

We show that if X is a reflexive Banach space with a uniformly G$\hat{a}$teaux differentiable norm, then the convergence of semigroups acting on Banach spaces $X_n$ implies the convergence of resolvents of generators of semigroups.

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