Some weak laws of large numbers in noncommutative probability
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Publication:1380107
DOI10.1007/PL00004356zbMath0941.46040OpenAlexW2021320529MaRDI QIDQ1380107
J. Martin Lindsay, Vittorino Pata
Publication date: 7 August 2000
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004356
central limit theoremfinite von Neumann algebraweak laws of large numbersfreely independent random variablesnoncommutative \(L_p({\mathcal M})\)-spaces
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Some strong limit theorems for weighted sums of measurable operators ⋮ Some kinds of uniform integrability and laws of large numbers in noncommutative probability ⋮ The law of large numbers for free identically distributed random variables ⋮ The degenerate convergence criterion and Feller's weak law of large numbers for double arrays in noncommutative probability ⋮ Chung-type strong laws and almost complete convergence for arrays of measurable operators ⋮ Beyond islands: a free probabilistic approach ⋮ Law of large numbers for roots of finite free multiplicative convolution of polynomials ⋮ Inequalities for martingales with respect to positive module operators ⋮ Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution ⋮ Rademacher inequalities with applications ⋮ Limit theorems in free probability theory. I ⋮ The strong laws of large numbers for positive measurable operators and applications ⋮ Convergence rates for weighted sums in noncommutative probability space ⋮ Mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions of uniform integrability ⋮ Noncommutative Fuk-Nagaev inequalities and their applications ⋮ Noncommutative Baum--Katz theorems ⋮ ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS ⋮ Series of free random variables
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