Commutants of complex symmetric weighted composition operators on Hilbert spaces of analytic functions
Abstract
We characterize all weighted composition operators v C ψ vC_{\psi } that commute with a J μ J_{\mu } -symmetric weighted composition operator u C φ uC_{\varphi } on the reproducing kernel Hilbert space H γ H_{\gamma } of analytic functions on the unit disk D {\mathbb D} . It turns out these commuting operators v C ψ vC_{\psi } are necessarily J μ J_{\mu } -symmetric. Furthermore, we obtain characterization(s) for the commuting operator v C ψ vC_{\psi } to be self-adjoint, normal or unitary.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Operator Algebra Research
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 3
- Pages
- 1143–1152
- Publication date
- 15 January 2026
- Language
- EN