Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols

Part of the Operator Theory: Advances and Applications book series (OT, volume 185)


In this chapter we continue the study of the C*-algebra generated by Toeplitz operators T a with piece-wise continuous defining symbols a acting on the Bergman space (\( \mathcal{A}^2 \left( \mathbb{D} \right) \)) on the unit disk \( \mathbb{D} \). Our aim here is to describe explicitly each operator from this algebra and to characterize the Toeplitz operators which belong to the algebra.


Compact Operator Toeplitz Operator Initial Generator Algebra Generate Compact Perturbation 
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© Birkhäuser Verlag AG 2008

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