Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 104-109.

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Non-commutative Kolmogorov Inequality and Zygmund Inequality

  

  1. College of Mathematics and System Sciences, Xinjiang University

  • Received:2010-04-02 Online:2012-03-30 Published:2023-04-07
  • About author:WU Tian-feng(1980-), male, native of Mianyang, Sichuan, M.S.D., engages in operator algebras.
  • Supported by:
    Supported by the Xinjiang Province Scientific Planning Project in Department of Education(XJEDU2006I07)

Abstract: In this paper, we discuss some properties of distribution functions of τ-measurable operators and obtain non-commutative analogue of Kolmogorov inequality and Zygmund inequality.

Key words: τ -measurable operator, distribution function, von Neumann algebra

CLC Number: