Uniform equicontinuity for sequences of homomorphisms into the ring of measurable operators

Abstract

We introduce a notion of uniform equicontinuity for sequences of functions with the values in the space of measurable operators. Then we show that all the implications of the classical Banach Principle on the almost everywhere convergence of sequences of linear operators remain valid in a non-commutative setting.

Full Text

Article Information

Title	Uniform equicontinuity for sequences of homomorphisms into the ring of measurable operators
Source	Methods Funct. Anal. Topology, Vol. 12 (2006), no. 2, 124-130
MathSciNet	MR2238034
Copyright	The Author(s) 2006 (CC BY-SA)

Authors Information

V. I. Chilin
Department of Mathematics, National University of Uzbekistan, Tashkent, 700174, Uzbekistan

S. N. Litvinov
Department of Mathematics, Pennsylvania State University, Hazleton, PA 18202, USA 

Citation Example

V. I. Chilin and S. N. Litvinov, Uniform equicontinuity for sequences of homomorphisms into the ring of measurable operators, Methods Funct. Anal. Topology 12 (2006), no. 2, 124-130.

BibTex

@article {MFAT347,
    AUTHOR = {Chilin, V. I. and Litvinov, S. N.},
     TITLE = {Uniform equicontinuity for sequences of homomorphisms into the ring of measurable operators},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {12},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {124-130},
      ISSN = {1029-3531},
  MRNUMBER = {MR2238034},
       URL = {http://mfat.imath.kiev.ua/article/?id=347},
}