arXiv:1305.6739 Abstract | arXiv Analytics

arXiv:1305.6739 [math.FA]Abstract References Reviews Resources

Commutation relations for truncated Toeplitz operators

Published 2013-05-29Version 1

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.

Categories: math.FA

Subjects: 47B32, 47B35, 47B37

Keywords: truncated toeplitz operators, commutation relations, multiplication operators, model subspaces, hardy space

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