We discuss positive Miyadera–Voigt type perturbations for bi-continuous semigroups on \(\mathrm {AL}\)-spaces with an additional locally convex topology generated by additive seminorms. The main example of such spaces is the space of bounded Borel measures (on a Polish space).

中文翻译：

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双连续半群的正Miyadera–Voigt摄动

我们讨论\（\ mathrm {AL} \）-空间上双连续半群的正Miyadera–Voigt型摄动，并具有由加法半范数生成的附加局部凸拓扑。这种空间的主要示例是有界Borel度量的空间（在波兰空间上）。