Truncated Toeplitz operators and complex symmetries

2017/02/04 by Bercovici, Hari, Timotin, Dan
#47A45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1702.01222

Abstract

We show that truncated Toeplitz operators are characterized by a collection of complex symmetries. This was conjectured by Klis-Garlicka, Lanucha, and Ptak, and proved by them in some special cases.

Related

• C^*-algebras generated by truncated Toeplitz operators
• Recent progress on truncated Toeplitz operators
• Complex symmetry of Toeplitz operators
• Characterization of truncated Toeplitz operators by conjugations
• Asymmetric truncated Toeplitz operators and conjugations