Asymptotic Tu-Toeplitzness of weighted composition operators on H2 |
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Authors: | Sungeun Jung |
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Affiliation: | 1.Department of Mathematics,Hankuk University of Foreign Studies,Yongin,Korea |
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Abstract: | Given a unilateral forward shift S acting on a complex, separable, innite dimensional Hilbert space H, an asymptotically S-Toeplitz operator is a bounded linear operator T on H satisfying that {S* n TS n } is convergent with respect to one of the topologies commonly used in the algebra of bounded linear operators on H. In this paper, we study the asymptotic T u -Toeplitzness of weighted composition operators on the Hardy space H2, where u is a nonconstant inner function. |
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