Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 2 (2006), 023, 9 pages      math.FA/0602441      https://doi.org/10.3842/SIGMA.2006.023

A Banach Principle for Semifinite von Neumann Algebras

Vladimir Chilin a and Semyon Litvinov b
a) Department of Mathematics, National University of Uzbekistan, Tashkent 700095, Uzbekistan
b) Department of Mathematics, Pennsylvania State University, 76 University Drive, Hazleton, PA 18202, USA

Received November 25, 2005, in final form February 10, 2006; Published online February 20, 2006

Abstract
Utilizing the notion of uniform equicontinuity for sequences of functions with the values in the space of measurable operators, we present a non-commutative version of the Banach Principle for L.

Key words: von Neumann algebra; measure topology; almost uniform convergence; uniform equicontinuity; Banach principle.

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References

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