Probabilistic Operator Algebra Seminar: Operators having bi-free central limit distributions

Seminar | March 6 | 3-5 p.m. | 736 Evans Hall

 Wonhee Na, Texas A&M University

 Department of Mathematics

In this talk, I will discuss joint work with Ken Dykema. From a bi-free central limit distribution, we have the completely non-normal operator l(h) + l(h)* + i (r(k) + r(k)*) on a subspace of the full Fock space F(H) ( h, k being vectors in H). We will find the principal function of this operator and its spectrum and essential spectrum as an application.