Commutation relations for truncated Toeplitz operators

Isabelle Chalendar (1) , Timotin Dan (2)

1 ICJ - Institut Camille Jordan
2 IMAR - "Simion Stoilow" Institute of Mathematics

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.

Domaines: Analyse fonctionnelle [math.FA]

Isabelle Chalendar, Timotin Dan. Commutation relations for truncated Toeplitz operators. Operators and Matrices, 2013, 8 (3), pp.877-888. ⟨10.7153/oam-08-49⟩. ⟨hal-00863738⟩