Centralizers of Toeplitz operators with polynomial symbols

Details Centralizers of Toeplitz operators with polynomial symbols Centralizers of Toeplitz operators with polynomial symbols

2010-08-14

arxiv.org/abs/1008.2403v2

Mathematics

Functional Analysis

5 pages, all comments welcome

Scientific paper

In this note we describe centralizers of Toeplitz operators with polynomial
symbols on the Bergman space. As a consequence it is shown that if an element
of the norm closed algebra generated by all Toeplitz operators commutes with a
Toeplitz operator of a noncon- stant polynomial, then this element is a
Toeplitz operator of a bounded holomorphic function.

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