English

A characterization for complex symmetric Toeplitz operators

Functional Analysis 2022-11-28 v1

Abstract

In this paper we use orthonormal basis for the Hardy space H2(T)H^{2}(\mathbb{T}), formed by rational functions, to characterize complex symmetric Toeplitz operators on H2(T)H^{2}(\mathbb{T}). As a result, we get examples of these operators whose symbols are non-trigonometric functions.

Keywords

Cite

@article{arxiv.2211.13635,
  title  = {A characterization for complex symmetric Toeplitz operators},
  author = {Marcos S. Ferreira},
  journal= {arXiv preprint arXiv:2211.13635},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-28T07:11:36.930Z