Banach principle in the space of τ-measurable operators

Michael Goldstein, Semyon Litvinov

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We establish a non-commutative analog of the classical Banach Principle on the almost everywhere convergence of sequences of measurable functions. The result is stated in terms of quasi-uniform (or almost uniform) convergence of sequences of measurable (with respect to a trace) operators affiliated with a semifinite von Neumann algebra. Then we discuss possible applications of this result.

Original languageEnglish (US)
Pages (from-to)33-41
Number of pages9
JournalStudia Mathematica
Volume143
Issue number1
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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