English

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

Functional Analysis 2016-09-27 v2 Operator Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1606.05420,
  title  = {Singularity of the generator subalgebra in $q$-Gaussian algebras},
  author = {Chenxu Wen},
  journal= {arXiv preprint arXiv:1606.05420},
  year   = {2016}
}

Comments

9 pages. A few minor changes. Accepted by Proceedings of AMS