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arXiv · 2604.13607

Strongly continuous and locally equicontinuous families of operators and their relation to bi-continuity

Karsten Kruse·Christian Seifert
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Abstract

We study strongly continuous and locally equicontinuous families of operators on sequentially complete Hausdorff locally convex spaces. In case of Saks spaces, we relate the general notions to bi-continuity as well as equitightness. In this way, we recover and also generalise known results for special classes of operator families such as bi-continuous ($C$-)semigroups and ($C$-)cosine families by well-known results for the corresponding families in Hausdorff locally convex spaces.

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Karsten Kruse, Christian Seifert. 2026-04-15. Strongly continuous and locally equicontinuous families of operators and their relation to bi-continuity. https://arxiv.org/abs/2604.13607

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