CrossRef Open Access 2026

Commutants of complex symmetric weighted composition operators on Hilbert spaces of analytic functions

Ching-on Lo

Abstrak

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.

Penulis (1)

C

Ching-on Lo

Format Sitasi

Lo, C. (2026). Commutants of complex symmetric weighted composition operators on Hilbert spaces of analytic functions. https://doi.org/10.1090/proc/17550

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2026
Bahasa
en
Sumber Database
CrossRef
DOI
10.1090/proc/17550
Akses
Open Access ✓