Dual truncated Toeplitz operators

DOI10.1016/j.jmaa.2017.12.032zbMath1485.47041OpenAlexW2771232586MaRDI QIDQ1706400

Yuanqi Sang, Xuanhao Ding

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.032

zbMATH Keywords

Hardy spaceHankel operatormodel spacedual truncated Toeplitz operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (20)

(Asymmetric) Dual Truncated Toeplitz Operators ⋮ Cyclic multiplicity of a direct sum of forward and backward shifts ⋮ Complex symmetric Toeplitz operators ⋮ Intertwining property for compressions of multiplication operators ⋮ Compact commutators of truncated Toeplitz operators on the model space ⋮ Shift invariance and reflexivity of compressions of multiplication operators ⋮ Unnamed Item ⋮ A theorem of Brown-Halmos type for dual truncated Toeplitz operators ⋮ Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators ⋮ The invariant subspaces of \(S \oplus S^*\) ⋮ Compressions of multiplication operators and their characterizations ⋮ Nearly invariant subspaces with applications to truncated Toeplitz operators ⋮ The commutant and invariant subspaces for dual truncated Toeplitz operators ⋮ Dual truncated Toeplitz \(C^*\)-algebras ⋮ Characterizations of dual truncated Toeplitz operators ⋮ Harmonic Hardy space and their operators ⋮ Finite-rank and compact defect operators of truncated Toeplitz operators ⋮ The Dual of the Compressed Shift ⋮ Algebras of generalized Cauchy singular integral operators ⋮ Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

Cites Work

• Unnamed Item
• Compact truncated Toeplitz operators
• Dual Toeplitz operators on the sphere
• Symbols of truncated Toeplitz operators
• Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators
• Products of Hankel operators
• Products of several Toeplitz operators
• Zero products of Toeplitz operators
• Harmonic analysis of operators on Hilbert space
• Algebras of truncated Toeplitz operators
• THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS
• A problem on products of Toeplitz operators
• The Commutant of Analytic Toeplitz Operators
• Algebraic properties of truncated Toeplitz operators
• Large scale detection of half-flats in CAT(0)-spaces
• Products of Toeplitz operators
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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