On cm-bounding sets

Peter Biström, Sten Bjon, Mikael Lindström

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

Let E be a quasi-complete locally convex space and A a subset of E. It is shown that if every real-valued C -function in the weak topology of E is bounded on A, then A is relatively weakly compact. Furthermore, if all real-valued C-functions on E are bounded on A, then A is relatively compact in the associated semi-weak topology of E.

Original languageEnglish
Pages (from-to)20-28
Number of pages9
JournalJournal of the Australian Mathematical Society
Volume54
Issue number1
DOIs
Publication statusPublished - Feb 1993
MoE publication typeA1 Journal article-refereed

Keywords

  • changeable double limit property
  • Cmbounding set
  • inter-
  • relatively compact set
  • semi-weak topology

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