Commutation relations for truncated Toeplitz operators

DOI10.7153/oam-08-49zbMath1302.47041arXiv1305.6739OpenAlexW2962818464MaRDI QIDQ2931320

Dan Timotin, Isabelle Chalendar

Publication date: 25 November 2014

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6739

zbMATH Keywords

normal operatorstruncated Toeplitz operatorscommutation properties

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (17)

On the dilation of truncated Toeplitz operators ⋮ Product of matrix valued truncated Toeplitz operators ⋮ Reducing subspaces of the dual truncated Toeplitz operator ⋮ Compact commutators of truncated Toeplitz operators on the model space ⋮ Semigroups of truncated Toeplitz operators ⋮ A theorem of Brown-Halmos type for dual truncated Toeplitz operators ⋮ On quasinormality of the dilation of truncated Toeplitz operators ⋮ On some algebras of truncated Hankel and asymmetric truncated Hankel operators ⋮ A survey of some recent results on truncated Toeplitz operators ⋮ Dual truncated Toeplitz \(C^*\)-algebras ⋮ Hyponormality of the dilation of truncated Toeplitz operators ⋮ Normal truncated Toeplitz operators ⋮ Characterizations of dual truncated Toeplitz operators ⋮ On the dilation of truncated Toeplitz operators. II ⋮ Products of asymmetric truncated Toeplitz operators ⋮ Ranks of commutators of truncated Toeplitz operators on finite dimensional spaces ⋮ Finite-rank and compact defect operators of truncated Toeplitz operators

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