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Convergence of integrable semigroups
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We study some properties of integrable semigroup and its generator, and then we establish convergence of integrable semigroups on the norming dual pairs.
Abstract
We study some properties of integrable semigroup and its generator, and then we establish convergence of integrable semigroups on the norming dual pairs.
참고문헌 (5)
- W. Arendt, "Vector-valued Laplace transforms and Cauchy problems", Israel J. Math, 59, pp.327~352 (1987)
- M. Kunze, "A general Pettis integral and application to transition semigroups, Preprint", ArXiv: 0901, ~
- M. Kunze, "Continuity and equicontinuity of semigroups on norming dual pairs", Semigroup Forum, 79, pp.540~560 (2009)
- M. Hasse, "The functional calculus for sectorial operators", Oper. Theory Adv. Appl, 169 (2006), Birkhaser
- K. Yosida, "Functional analysis" (1980), Spinger-Verlag, Berlin
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