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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 023, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.023 (Mi sigma51) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Banach Principle for Semifinite von Neumann Algebras

Vladimir Chilina, Semyon Litvinovb

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
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DOI: https://doi.org/10.3842/SIGMA.2006.023
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 $L^\infty$.
Keywords: von Neumann algebra; measure topology; almost uniform convergence; uniform equicontinuity; Banach Principle.
Received: November 25, 2005; in final form February 10, 2006; Published online February 20, 2006
Bibliographic databases:
Document Type: Article
MSC: 46L51
Language: English
Citation: Vladimir Chilin, Semyon Litvinov, “A Banach Principle for Semifinite von Neumann Algebras”, SIGMA, 2 (2006), 023, 9 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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