Correction to: Measures under the flat norm as ordered normed vector space (Positivity, (2018), 22, 1, (105-138), 10.1007/s11117-017-0503-z)

Piotr Gwiazda, Anna Marciniak-Czochra, Horst Thieme

Research output: Contribution to journalComment/debatepeer-review

2 Scopus citations

Abstract

Mt+(S) is a cone ofM(S) if S is complete, because thenMt+(S) = Ms+(S). In general,Mt+(S) is not a cone ofM(S) because it is not closed. It follows from Remark 4.20 thatMt+(S) is dense inMs+(S). Assume thatMt+(S) is closed and S is separable. Then,Mt+(S) =M+(S). This implies that S is universally measurable; however, not all separable metric spaces are universally measurable ([1, Sect. 11.5]).

Original languageEnglish (US)
Pages (from-to)139-140
Number of pages2
JournalPositivity
Volume22
Issue number1
DOIs
StatePublished - Mar 1 2018

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Mathematics(all)

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