Individual ergodic theorem for unitary maps of random matrices
نویسندگان
چکیده
منابع مشابه
Individual Ergodic Theorem for Unitary Maps of Random Matrices
Using simple techniques of finite von Neumann algebras, we prove a limit theorem for random matrices. 1. Notation and main result 1.1. Let (Ω,F , μ) be a probability space, and let H denote the space of all d × d matrices with entries in the complex space L2(Ω, μ). H is a Hilbert space with the inner product (1) 〈AB〉 = Φ(AB∗), where φ(A) = ∫ Ω tr A(ω)μ(dμ), and tr denotes the normalized trace o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-04-07388-5