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Products of Toeplitz operators and Hankel operators

Tom 220 / 2014

Yufeng Lu, Linghui Kong Studia Mathematica 220 (2014), 277-292 MSC: Primary 47B35; Secondary 47B38. DOI: 10.4064/sm220-3-5

Streszczenie

We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.

Autorzy

  • Yufeng LuSchool of Mathematical Sciences
    Dalian University of Technology
    116024 Dalian, China
    e-mail
  • Linghui KongSchool of Mathematical Sciences
    Dalian University of Technology
    116024 Dalian, China
    e-mail

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