$\mathrm{AM}$ -空间上双连续半群的Desch-Schappacher正扰动
Positive Desch-Schappacher perturbations of bi-continuous semigroups on $\mathrm{AM}$-spaces
摘要:
本文考虑了$\mathrm{AM}$ -空间上双连续半群的正Desch-Schappacher扰动,并具有与附加局部局部凸拓扑有关的附加性质。作为例子,我们讨论了左平移半群在实直线上有界连续函数空间和有界线性算子空间上的扰动。
英文摘要:
In this paper, we consider positive Desch-Schappacher perturbations of bi-continuous semigroups on $\mathrm{AM}$-spaces with an additional property concerning the additional locally convex topology. As an examples, we discuss perturbations of the left-translation semigroup on the space of bounded continuous function on the real line and on the space of bounded linear operators.
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