Norm convergence of moving averages for τ-integrable operators

Doğan Çömez, Semyon Litvinov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

It is shown that if α is a positive linear map on L1(M, τ) of a von Neumann algebra M with a faithful normal (semi-)finite trace τ which is norm-reducing for both the operator norm and the integral norm associated with τ, then the moving averages converge in Lp-norm, 1 ≤ p ≤ ∞. Using this result it has been shown that similar norm convergence results hold for some super-additive processes in Lp(M, τ) relative to τ-preserving α.

Original languageEnglish (US)
Pages (from-to)1251-1263
Number of pages13
JournalRocky Mountain Journal of Mathematics
Volume30
Issue number4
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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