Subtle hyperplanes

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • cone
  • duality of topology vector spaces

Fingerprint Dive into the research topics of 'Subtle hyperplanes'. Together they form a unique fingerprint.

Cite this