English

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

Functional Analysis 2022-09-14 v1

Abstract

In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve \cite[Theorem 2.1]{RGSSSTOE1}, by characterizing the absolutely norm attaining Toeplitz operator TφT_\varphi in terms of the symbol φL\varphi \in L^\infty.

Keywords

Cite

@article{arxiv.2209.05841,
  title  = {Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators},
  author = {G. Ramesh and Shanola S. Sequeira},
  journal= {arXiv preprint arXiv:2209.05841},
  year   = {2022}
}

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R2 v1 2026-06-28T01:11:48.854Z