On the Toeplitzness of Composition Operators


Fedor Nazarov and Joel Shapiro

 

Complex Variables and Elliptic Eqns. to appear
 
Abstract: Composition operators on H^2 cannot---except trivially---be Toeplitz, or even ``Toeplitz plus compact.'' However there are natural ways in which they can be ``asymptotically Toeplitz.'' We show here that the study of such phenomena leads to surprising results and interesting open problems.

 

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