Strong Mixing Coefficients for Non-commutative Gaussian Processes
نویسنده
چکیده
Bounds for non-commutative versions of two classical strong mixing coefficients for q-Gaussian processes are found in terms of the angle between the underlying Hilbert spaces. As a consequence, we construct a ψ-mixing qGaussian stationary sequence with growth conditions on variances of partial sums. If classical processes with analogous properties were to exist, they would provide a counter-example to the Ibragimov conjecture.
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تاریخ انتشار 2003