Article ID Journal Published Year Pages File Type
4616262 Journal of Mathematical Analysis and Applications 2014 8 Pages PDF
Abstract

We examine the Toeplitzness of products of composition operators and their adjoints. We show, among other things, that Cϕ⁎Cϕ is strongly asymptotically Toeplitz for all analytic self-maps ϕ   of the unit disk, and that CϕCϕ⁎ is Toeplitz if and only if ϕ   is the identity or a rotation. Also, we see that CϕCϕ⁎ can exhibit varying degrees of asymptotic Toeplitzness.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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