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arxiv: 1305.6739 · v1 · pith:ZJ2S4BOYnew · submitted 2013-05-29 · 🧮 math.FA

Commutation relations for truncated Toeplitz operators

classification 🧮 math.FA
keywords operatorstoeplitzcommutationrelationstruncatedalgebrasanalogycase
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For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space $H^2$, we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras.

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