Semyon LITVINOV and  Vladimir CHILIN
Department of Mathematics,
Pennsylvania State University,
Hazleton, PA 18202,
USA
     and
National University of Uzbekistan,
Tashkent 700095,
UZBEKISTAN
E-mail: snl2@psu.edu, chilin@ucd.uz

A Banach Principle for a von Neumann Algebra

Abstract:
For a sequence of homomorphisms from a finite von Neumann algebra M to the algebra of all measurable operators affiliated with M, we introduce a notion of uniform equicontinuity (with respect to the measure topology). Then we discuss its relationship with the almost uniform convergence of a sequence of continuous homomorphisms.