2008 | OriginalPaper | Chapter
Toeplitz Operators on the Unit Disk with Radial Symbols
Published in: Commutative Algebras of Toeplitz Operators on the Bergman Space
Publisher: Birkhäuser Basel
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As follows, for example, from Theorem 2.8.3, the Toeplitz operator with radial defining symbols
a(r)
, which is continuous at the boundary point 1, has a trivial structure, nothing but a compact perturbation of a scalar operator,
T
a(r)
=
a(1)I+K
.