A Non-commutative analogue of Gaussian Hilbert Spaces

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The paper gives analogues of some starting results in the theory of Gaussian Hilbert Spaces for semicircular distributed random variables. The transition from the commutative to the free frame is done considering matrices of increasing dimension and utilizing the Amitzur-Levitzki Theorem.
10 pages

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Operator Algebras, 47L80

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http://salesiana.dossiersoluciones.com/handle/123456789/74994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504470
 http://arxiv.org/abs/math/0504470

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arXiv