Erratum: Truncated Reaction Operators

Commutation relations for truncated Toeplitz operators

For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space H2 , 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. Mathematics subject classification (2010): 47B32, 47B35, 47B37.

ON TRUNCATED WIENER-HOPF OPERATORS AND BMOpZq

whenever Φ is such that this extends to a bounded operator on Lpr0, asq. Whenever a is of no importance we will omit it from the notation. We abbreviate by saying that WΦ is a TWH-operator. These operators (or rather, unitarily equivalent ones) also go under the name finite interval convolution operators, truncated Hankel operators or Toeplitz operators on the Paley-Wiener space. See e.g. [1, 2...

Recent Progress on Truncated Toeplitz Operators

This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason’s seminal paper [88] from 2007.

Erratum

Truncated Toeplitz Operators and Boundary values in nearly invariant subspaces

We consider truncated Toeplitz operator on nearly invariant subspaces of the Hardy space H. Of some importance in this context is the boundary behavior of the functions in these spaces which we will discuss in some detail.