A Banach Principle for Semifinite von Neumann Algebras

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?.

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Bibliographic Details
Published in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2006-01, Vol.2, p.023
Main Author: Chilin, Vladimir
Format: Article
Language:English
Subjects:
almost uniform convergence
Banach Principle
measure topology
uniform equicontinuity
von Neumann algebra
Online Access:Get full text
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Description
Summary: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?.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2006.023