Operator Theory In Quaternionic Fock Space

Speaker：Yufeng Lu (Dalian University of Technology)

Time：2026-5-16 15:30

Location：Conference Room C610 at Administration Building at Haiyun Campus

Abstract:

The operator theory on a function space and the theory of the function space itself are interdependent and mutually influential. Due to the non-commutativity of quaternions and the global nature of the domain, the quaternionic Fock space is fundamentally different from any other classical function space. This talk will introduce the preliminary results of the operator theory on quaternionic Fock spaces, including how to overcome the limitations of slice-by-slice approaches by constructing a global quaternionic Fock space, establish some fundamental results in operator theory, and discuss prospects for future research.