A Non-commutative analogue of Gaussian Hilbert Spaces

Details A Non-commutative analogue of Gaussian Hilbert Spaces A Non-commutative analogue of Gaussian Hilbert Spaces

2005-04-22

arxiv.org/abs/math/0504470v1

Mathematics

Operator Algebras

10 pages

Scientific paper

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.

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