Toeplitz algebra on the Fock space
Shengkun Wu, Dechao Zheng
TL;DR
This paper investigates the structure and properties of the Toeplitz algebra generated by bounded symbols on the Fock space, which consists of square-integrable entire functions with respect to a Gaussian measure.
Contribution
It provides a detailed analysis of the Toeplitz algebra on the Fock space, expanding understanding of its algebraic and operator-theoretic properties.
Findings
Characterization of the Toeplitz algebra on the Fock space
Identification of its generators and relations
Insights into its spectral properties
Abstract
The Fock space consists of all entire functions which are square integrable with respect to Gauss measure. The Toeplitz algebra is the C*-algebra generated by the Toeplitz operator with bounded symbol on the Fock space. In this paper, we study the Toeplitz algebra on the Fock space.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Operator Algebra Research