Some strong limit theorems for weighted sums of measurable operators
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The aim of this study is to provide some strong limit theorems for weighted sums of measurable operators. The almost uniform convergence and the bilateral almost uniform convergence are considered. As a result, we derive the strong law of large numbers for sequences of successively independent identically distributed measurable operators without using the noncommutative version of Kolmogorov’s inequality.
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2021 ◽
Vol 15
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pp. 15-17
2008 ◽
Vol 78
(7)
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pp. 890-895
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2016 ◽
Vol 53
(1)
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pp. 45-55
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2021 ◽
Vol 58
(2)
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pp. 263-273
2019 ◽
pp. 1-19
2012 ◽
Vol 05
(01)
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pp. 1250007