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The Banach Principle for ideal convergence in the classical and noncommutative context
Authors:Gra?yna Horbaczewska
Institution:a Department of Mathematics, University of ?ód?, ul. Banacha 22, 90-238 ?ód?, Poland
b Department of Mathematics and Statistics, Lancaster University, Lancaster, United Kingdom
Abstract:Versions of the Banach Principle for different types of convergence ‘with respect to an ideal’ are established both in the commutative and noncommutative (von Neumann algebraic) context.
Keywords:Banach Principle  Convergence with respect to an ideal  Noncommutative measure theory
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