Almost-Everywhere Convergence and (<em class="a-plus-plus">o</em>)-Convergence in Rings of Measurable Operators Associated with a Finite von Neumann Algebra

  • M. A. Muratov
  • V. I. Chilin


We study the relationship between (o)-convergence and almost-everywhere convergence in the Hermite part of the ring of unbounded measurable operators associated with a finite von Neumann algebra. In particular, we prove a theorem according to which (o)-convergence and almost-everywhere convergence are equivalent if and only if the von Neumann algebra is of the type I.
How to Cite
Muratov, M. A., and V. I. Chilin. “Almost-Everywhere Convergence and (<em class="a-Plus-plus">o</Em&gt;)-Convergence in Rings of Measurable Operators Associated With a Finite Von Neumann Algebra”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 9, Sept. 2003, pp. 1196-05,
Research articles