Subtle hyperplanes

Research output: Contribution to journalArticlepeer-review


We show that the countably-dimensional vector space C00 of all sequences with finite support contains a convex cone K that does not include straight lines and is closed Archiemedean but not closed in the Mackey topology τ corresponding to the duality 〈C00|F〉, where F is a hyperplane in the algebraic dual space C00 #.

Translated title of the contributionТонкие гиперплоскости
Original languageEnglish
Pages (from-to)1553-1555
Number of pages3
JournalSiberian Electronic Mathematical Reports
Publication statusPublished - 1 Jan 2018


  • cone
  • duality of topology vector spaces

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