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arXiv · 1504.06446

Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol

M. Cristina Câmara·Jonathan R. Partington
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Abstract

Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for $1<p<\infty$. It is shown that they are equivalent after extension to $2 \times 2$ matricial Toeplitz operators, which allows one to deduce information about their invertibility properties. Shifted model spaces are presented in the context of invariant subspaces, allowing one to deduce new Beurling--Lax theorems.

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BibTeXRIS

M. Cristina Câmara, Jonathan R. Partington. 2015-04-24. Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol. https://arxiv.org/abs/1504.06446

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