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Session 33. Spaces of analytic functions
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Matrix representations of truncated Toeplitz operators |
Bartosz Łanucha, Maria Curie-Skłodowska University, Lublin, Poland
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Let \(u\) be a nonconstant inner function and let \(K_u\) be the so-called model space, that is the space orthogonal to the space \(uH^2\). Truncated Toeplitz operators are compressions of classical Toeplitz operators to the space \(K_u\). In the case when \(u\) is a finite Blaschke product the matrix representation of a truncated Toeplitz operator has been found by J. Cima, W. Ross and W. Wogen in 2008. We obtain a similar representation for infinite Blaschke products with uniformly separated zeros.
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