This article is cited in 2 papers

A Banach Principle for Semifinite von Neumann Algebras

Vladimir Chilin^a, Semyon Litvinov<sup>b

a</sup> Department of Mathematics, National University of Uzbekistan, Tashkent 700095, Uzbekistan
^b Department of Mathematics, Pennsylvania State University, 76 University Drive, Hazleton, PA 18202, USA

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.

MSC: 46L51

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

Language: English

DOI: 10.3842/SIGMA.2006.023

Bibliographic databases:

• 
• 
• 
• 

ArXiv: math.FA/0602441