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

Authors

  • S. N. Litvinov Department of Mathematics, National University of Uzbekistan, Tashkent, 700174, Uzbekistan
  • V. I. Chilin Department of Mathematics, Pennsylvania State University, Hazleton, PA 18202, USA 

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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.

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Published

2006-06-25

Issue

Vol. 12 No. 2 (2006)

Section

Articles

How to Cite

Litvinov, S. N., and V. I. Chilin. “Uniform Equicontinuity for Sequences of Homomorphisms into the Ring of Measurable Operators”. Methods of Functional Analysis and Topology, vol. 12, no. 2, June 2006, pp. 124-30, https://zen.imath.kiev.ua/index.php/mfat/article/view/307.