A note on joint spectrum in function spaces

DOI10.1007/s11785-023-01383-3zbMath1525.47065OpenAlexW4384471002MaRDI QIDQ6175663

Puyu Cui, Rongwei Yang

Publication date: 24 July 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01383-3

zbMATH Keywords

Toeplitz operatorshift operatorprojective spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Bergman spaces of functions in several complex variables (32A36) Bloch spaces (30H30)

Cites Work

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• The spectrum of Bergman Toeplitz operators with some harmonic symbols
• Subnormal Toeplitz operators and functions of bounded type
• Joint spectrum and the infinite dihedral group
• Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols
• Harmonic analysis of operators on Hilbert space
• Geometric spectral theory for compact operators
• On models for linear operators
• The spectrum and essential spectrum of Toeplitz operators with harmonic symbols
• PROJECTIVE SPECTRUM IN BANACH ALGEBRAS
• Toeplitz Operators on Bergman Spaces
• Toeplitz and Hankel Operators on Bergman Spaces
• Self-similarity and spectral dynamics

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