Spectrum of normal weighted composition operators on the Fock space over \(\mathbb{C}^N\)

DOI10.1007/s10114-019-8549-4zbMath1476.47022OpenAlexW2966762774MaRDI QIDQ2273256

Li Xia Feng, Lian Kuo Zhao

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8549-4

zbMATH Keywords

spectrumFock spaceweighted composition operatornormal

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (2)

Difference of composition operators on some analytic function spaces ⋮ Weighted composition operators on the Fock space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-adjoint, unitary, and normal weighted composition operators in several variables
• Invertible weighted composition operators on the Fock space of \(\mathbb{C}^N\)
• A class of normal weighted composition operators on the Fock space of \(\mathbb C^n\)
• Spectra of weighted composition operators with automorphic symbols
• Unitary weighted composition operators on the Fock space of \(\mathbb C ^n\)
• Harmonic analysis of operators on Hilbert space
• ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N
• Normal weighted composition operators on the Fock space of ℂ^N
• The Fourier and Hilbert transforms Under the Bargmann transform
• Normal and isometric weighted composition operators on the Fock space

This page was built for publication: Spectrum of normal weighted composition operators on the Fock space over \(\mathbb{C}^N\)