On the Toeplitzness
of Composition Operators

Fedor Nazarov and Joel Shapiro


Complex Variables and Elliptic Eqns. 52 (2007), 193--210.
Abstract: Composition operators on H2 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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