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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Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:35:y:2022:i:3:d:10.1007_s10959-021-01108-2
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DOI: 10.1007/s10959-021-01108-2
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