Cowen's class and Thomson's class

2013/12/29 by Kunyu Guo, Guo, Kunyu, Hansong Huang +1
Mathematics · #30J10 #47B35 #47C15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30J10 #msc:47B35 #msc:47C15

paper · pdf · doi:10.48550/arxiv.1312.7498

14 pages, 2 figures

arxiv created 2014/01/14 · arxiv updated 2014/01/15

Abstract

In studying commutants of analytic Toeplitz operators, Thomson proved a remarkable theorem which states that under a mild condition, the commutant of an analytic Toeplitz operator is equal to that of Toeplitz operator defined by a finite Blaschke product. Cowen gave an significant improvement of Thosom's result. In this paper, we will present examples in Cowen's class which does not lie in Thomson's class.

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