Schatten-class truncated Toeplitz operators

DOI10.1090/proc12731zbMath1337.47030arXiv1410.1906OpenAlexW2964309630MaRDI QIDQ2789862

Patrick Lopatto, Richard Rochberg

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1906

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Compact truncated Toeplitz operators ⋮ Schatten properties of Toeplitz operators on the Paley–Wiener space ⋮ Grassmann geometry of zero sets in reproducing kernel Hilbert spaces ⋮ A survey of some recent results on truncated Toeplitz operators ⋮ Thin Interpolating Sequences ⋮ Laplace-Carleson embeddings on model spaces and boundedness of truncated Hankel and Toeplitz operators

Cites Work

• Thin sequences and the Gram matrix
• Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators
• Trace ideal criteria for Hankel operators, and applications to Besov spaces
• Hankel forms and the Fock space
• Toeplitz and Hankel operators on the Paley-Wiener space
• Fredholmness and compactness of truncated Toeplitz and Hankel operators
• On functions orthogonal to invariant subspaces
• Recent Progress on Truncated Toeplitz Operators
• Algebras of truncated Toeplitz operators
• Algebraic properties of truncated Toeplitz operators
• Theory of Reproducing Kernels
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