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Chung-Type Strong Laws and Almost Complete Convergence for Arrays of Measurable Operators

Do The Son (), Duong Xuan Giap () and Nguyen Van Quang ()
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Do The Son: Lam Son High School for the Gifted
Duong Xuan Giap: Vinh University
Nguyen Van Quang: Vinh University

Journal of Theoretical Probability, 2022, vol. 35, issue 3, 1391-1411

Abstract: Abstract The aim of this study is to establish some Chung-type strong laws of large numbers and almost complete convergence for arrays of measurable operators under various conditions. Some related results in the literature are extended to the noncommutative context.

Keywords: Strong law of large numbers; Almost complete convergence; Arrays of measurable operators; Noncommutative probability; 46L53; 60F15; 60F99 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10959-021-01108-2

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