Complex symmetry of Toeplitz operators over the bidisk

DOI10.1007/s10473-023-0405-zzbMath1524.47039MaRDI QIDQ6099786

Kaikai Han, Maofa Wang, Qi Wu

Publication date: 21 June 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceToeplitz operatorscomplex symmetry

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear composition operators (47B33)

Cites Work

• Complex symmetric Toeplitz operators
• On complex symmetric Toeplitz operators
• Interpolation and complex symmetry
• Normal weighted composition operators on the Hardy space
• Complex symmetric weighted composition operators on \(\mathcal{H}_\gamma(\mathbb{D})\)
• Complex symmetric Toeplitz operators on the unit polydisk and the unit ball
• A class of complex symmetric Toeplitz operators on Hardy and Bergman spaces
• Complex symmetric monomial Toeplitz operators on the unit ball
• Complex symmetric Toeplitz operators on the Dirichlet space
• Complex symmetric partial isometries
• Some new classes of complex symmetric operators
• Complex symmetric operators and applications II
• Complex symmetric operators and applications

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