Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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THE STRONG LAW OF LARGE NUMBERS FOR TWO-DIMENSIONAL ARRAYS OF ORTHOGONAL OPERATOR IN VON NEUMANN ALGEBRA

NGUYEN VAN QUANG

pp. 15-25

Abstract

We investigate the strong law of large numbers for two-dimensional arrays of pairwise orthogonal operators in a von Neumann algebra $A$ with faithful normal state. Some related results are considered.