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<p>We continue the study by the first author on isometric and unitary Toeplitz + Hankel operators (Gu in J Math Anal Appl 552:129797, 2025). We give a complete description of the symbols of unitary (T+H)-operators. By factorizing a large class of isometric (T+H)-operators as products of Toeplitz operators and unitary (T+H)-operators, we find the spectrum of these isometries. Explicit examples of isometric and unitary (T+H)-operators are presented to illustrate that these operators are interesting and are worthy of further investigation.</p>

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Isometric and unitary Toeplitz + Hankel operators

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • Caixing Gu,
  • Pan Ma,
  • Baoen Song

摘要

We continue the study by the first author on isometric and unitary Toeplitz + Hankel operators (Gu in J Math Anal Appl 552:129797, 2025). We give a complete description of the symbols of unitary (T+H)-operators. By factorizing a large class of isometric (T+H)-operators as products of Toeplitz operators and unitary (T+H)-operators, we find the spectrum of these isometries. Explicit examples of isometric and unitary (T+H)-operators are presented to illustrate that these operators are interesting and are worthy of further investigation.