2015/10/12 by Kenneth J. Dykema, Dykema, Kenneth J., Wonhee Na +1
Mathematics · #46L54 (47A65) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Operator Algebras (math.OA) #Random Matrices and Applications #math.OA #msc:46L54
paper · pdf · doi:10.48550/arxiv.1510.03328
13 pages, including 1 figure
arxiv created 2015/10/12 · openalex publication_date 2015/10/12 · arxiv updated 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We find the principal function of the completely non-normal operator l(v1)+l(v1)^*+i(r(v2)+r(v2)^*) on a subspace of the full Fock space F(H) which arises from a bi-free central limit distribution. As an application, we find the essential spectrum of this operator.