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Banach principle in the space of τ-measurable operators

Michael Goldstein;  Semyon Litvinov — 2000

Studia Mathematica

We establish a non-commutative analog of the classical Banach Principle on the almost everywhere convergence of sequences of measurable functions. The result is stated in terms of quasi-uniform (or almost uniform) convergence of sequences of measurable (with respect to a trace) operators affiliated with a semifinite von Neumann algebra. Then we discuss possible applications of this result.

Approximations: Discussion.

Philip J. Brown;  Michael Goldstein;  José M. Bernardo;  A. Philip Dawid;  Simon French;  Irving John Good;  Jerzy Gren;  Anthony O'Hagan — 1980

Trabajos de Estadística e Investigación Operativa

Discussion on the papers by Mouchart, Michel and Simar, Léopold, Least squares approximation in Bayesian analysis and by Lindley, Dennis V., Approximate Bayesian methods, both of them part of a round table on Approximations held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).

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