Mixed topologies on Saks spaces of vector-valued functions

Karsten Kruse*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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Abstract

We study Saks spaces of functions with values in a normed space and the associated mixed topologies. We are interested in properties of such Saks spaces and mixed topologies which are relevant for applications in the theory of bi-continuous semigroups. In particular, we are interested if such Saks spaces are complete, semi-Montel, C-sequential or a (strong) Mackey space with respect to the mixed topology. Further, we consider the question whether the mixed and the submixed topology coincide on such Saks spaces and seek for explicit systems of seminorms that generate the mixed topology.

Original languageEnglish
Article number108843
Number of pages27
JournalTopology and its Applications
Volume345
Early online date30 Jan 2024
DOIs
Publication statusPublished - 15 Mar 2024

Keywords

  • C-sequential
  • Mackey
  • Mixed topology
  • Saks space
  • Tight
  • UT-Hybrid-D

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