Commutation relations for truncated Toeplitz operators
Isabelle Chalendar, Dan Timotin
TL;DR
This paper establishes criteria for when truncated Toeplitz operators commute, drawing parallels to Toeplitz matrices and extending Sedlock algebra theory, thus advancing understanding of their algebraic structure.
Contribution
It provides new criteria for commutation relations of truncated Toeplitz operators, extending the Sedlock algebra framework and highlighting analogies with Toeplitz matrices.
Findings
Criteria for commutation relations of truncated Toeplitz operators
Extension of Sedlock algebra theory
Analogy to Toeplitz matrices
Abstract
For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space , 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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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Operator Algebra Research