Toeplitz kernels and the backward shift

DOI10.1016/j.jmaa.2020.124489OpenAlexW3003222813MaRDI QIDQ2199319

Ryan O'Loughlin

Publication date: 16 September 2020

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

Full work available at URL: https://arxiv.org/abs/2001.10890

zbMATH Keywords

Toeplitz operatorbackward shift operatorvector-valued Hardy space

Mathematics Subject Classification ID

Integral equations (45-XX) Operator theory (47-XX)

Related Items (1)

Nearly invariant subspaces with applications to truncated Toeplitz operators

Cites Work

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• The kernel of a Toeplitz operator
• Invariant subspaces of \({\mathcal H}^ 2\) of an annulus
• Extremal functions as divisors for kernels of Toeplitz operators.
• Multipliers and equivalences between Toeplitz kernels
• Kernels of Toeplitz operators via Bourgain's factorization theorem
• Near invariance and kernels of Toeplitz operators
• Model spaces and Toeplitz kernels in reflexive Hardy spaces
• Interpolation in de Branges-Rovnyak spaces
• A solution to the Douglas-Rudin problem for matrix-valued functions
• On the Theory of Matrix Valued Functions Belonging to the Smirnov Class

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