C^*-algebras generated by truncated Toeplitz operators

2012/03/12 by Stephan Ramon Garcia, Garcia, Stephan Ramon, William T. Ross +3
Mathematics · #46Lxx #47A05 #47B35 #47B99 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.CV #math.FA #math.OA #msc:46Lxx #msc:47A05 #msc:47B35 #msc:47B99

paper · pdf · doi:10.48550/arxiv.1203.2412

12 pages

arxiv created 2012/06/22 · arxiv updated 2012/06/25

Abstract

We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz operators having continuous symbols.

Related

• Truncated Toeplitz operators and complex symmetries
• Unitary equivalence to a truncated Toeplitz operator: analytic symbols
• Algebras of truncated Toeplitz operators
• Characterization of truncated Toeplitz operators by conjugations
• Toeplitz C^*-Algebras on Boundary Orbits of Symmetric Domains