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

preprint2016arXivOpen access

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

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Singularity of the generator subalgebra in qqq-Gaussian algebras

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