A Banach Principle for Semifinite von Neumann Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Chilin, V., Litvinov, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146441
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Banach Principle for Semifinite von Neumann Algebras / V. Chilin, S. Litvinov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 9 назв. — англ.

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∞.