Every composition operator
is
(mean) asymptotically Toeplitz
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Joel Shapiro
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J. Math. Anal.
Appl. 333 (2007), 523--529.
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| Abstract:
Recently Fedor Nazarov and I showed that, while composition
operators on the Hardy space H2 can only trivially be Toeplitz,
or even ``Toeplitz plus compact,'' it is an interesting
problem to determine which of them can be ``asymptotically Toeplitz.''
I show here that if ``asymptotically'' is interpreted in, for
example, the sense of Cesaro convergence, then every
composition operator on H2 becomes asymptotically Toeplitz. |
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Download .pdf file (166KB):
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