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Zero sums of products of Toeplitz and Hankel operators on the Hardy space

Volume 227 / 2015

Young Joo Lee Studia Mathematica 227 (2015), 41-53 MSC: Primary 47B35; Secondary 32A36. DOI: 10.4064/sm227-1-3

Abstract

On the Hardy space of the unit disk, we consider operators which are finite sums of products of a Toeplitz operator and a Hankel operator. We then give characterizations for such operators to be zero. Our results extend several known results using completely different arguments.

Authors

  • Young Joo LeeDepartment of Mathematics
    Chonnam National University
    Gwangju 500-757, Korea
    e-mail

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