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Singularity of the generator subalgebra in $q$-Gaussian algebras

Published 17 Jun 2016 in math.FA and math.OA | (1606.05420v2)

Abstract: Given $-1 < q < 1$ and a separable real Hilbert space with dimension no less than 2, we prove that the generator subalgebra in the $q$-Gaussian algebra is singular.

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