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Semicommutators of Truncated Toeplitz Operators

  • Xi Zhao,
  • Tao Yu

摘要

In this paper semicommutators of truncated Toeplitz operators on some model space are discussed. We investigate when the product or the semicommutator of two truncated Toeplitz operators is zero, respectively. We also obtain a necessary and sufficient condition for the semicommutator of two truncated Toeplitz operators to be compact.