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

$icon-email$ NGUYEN VAN QUANG

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.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Mã bưu điện: 10072

Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán

Acta Mathematica Vietnamica

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

Abstract