On uniform ergodic theorems for quadratic processes on C*-algebras

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We investigate questions of the convergence in the uniform topology of Cesàro time averages of stationary quantum quadratic processes defined on C*-algebras. A necessary and sufficient condition is given for the convergence of averages in the uniform topology. In addition, the convergence of weighted averages in the uniform topology is investigated and it is proved that averages weighted by Besicovitch Φ-functions converge.

Original languageEnglish
Pages (from-to)1891-1903
Number of pages13
JournalSbornik Mathematics
Issue number11-12
Publication statusPublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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