Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

CONVERGENCE OF INTEGRABLE SEMIGROUPS

  • Lee, Young S. (Department of Mathematics Seoul Women's University)
  • Received : 2011.02.14
  • Accepted : 2011.03.15
  • Published : 2011.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

We study some properties of integrable semigroup and its generator, and then we establish convergence of integrable semigroups on the norming dual pairs.

Keywords

References

  1. W. Arendt, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327 - 352. https://doi.org/10.1007/BF02774144
  2. M. Kunze, A general Pettis integral and application to transition semigroups, Preprint, ArXiv: 0901. https://doi.org/10.1007/s10587-011-0065-3
  3. M. Kunze, Continuity and equicontinuity of semigroups on norming dual pairs, Semigroup Forum 79 (2009), 540 - 560.
  4. M. Hasse, The functional calculus for sectorial operators, Oper. Theory Adv. Appl. 169, Birkhaser, 2006.
  5. K. Yosida, Functional analysis, Spinger-Verlag, Berlin, 1980.