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On ergodic properties of convolution operators associated with compact quantum groups

Volume 113 / 2008

Uwe Franz, Adam Skalski Colloquium Mathematicum 113 (2008), 13-23 MSC: Primary 46L51; Secondary 47A35, 81R50. DOI: 10.4064/cm113-1-2

Abstract

Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative $L^p$-spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.

Authors

  • Uwe FranzDépartement de Mathématiques
    de Besançon
    Université de Franche-Comté
    16, route de Gray
    F-25030 Besançon Cedex, France
    and
    Graduate School of Information Sciences
    Tohoku University
    Sendai 980-8579, Japan
    e-mail
  • Adam SkalskiDepartment of Mathematics
    University of /L/od/x
    Banacha 22
    90-238 /L/od/x, Poland
    and
    Department of Mathematics
    and Statistics
    Lancaster University
    Lancaster, LA1 4YF, UK
    e-mail

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