Year: 2025
Type: article
Abstract: We use results and techniques from Werner’s “quantum harmonic analysis” to show that G-invariant Toeplitz operators on $$\mathcal {F}^2$$ F 2 are norm dense in G-invariant Toeplitz algebras for all subgroups G of the affine unitary group $$U_n\ltimes \mathbb {C}^n$$ U n ⋉ C n . Additionally, we prove that the quasi-radial Toeplitz operators are dense in the quasi-radial Toeplitz algebra over the Bergman space $$\mathcal {A}^2$$ A 2 and prove that G-invariant Toeplitz operators are SOT dense in the algebra of all G-invariant bounded operators on $$\mathcal {F}^2$$ F 2 .
Authors: Vishwa Dewage, Mishko Mitkovski
Institution: Clemson University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4413011887