Factorization theory for a class of Toeplitz + Hankel operators

Estelle Basor; Torsten Ehrhardt

Factorization theory for a class of Toeplitz + Hankel operators

Functional Analysis 2007-05-23 v1

Authors: Estelle Basor , Torsten Ehrhardt

Abstract

In this paper we study operators of the form $M(\phi)=T(\phi)+H(\phi)$ where $T(\phi)$ and $H(\phi)$ are the Toeplitz and Hankel operators acting on $H^p(\T)$ with generating function $\phi\in L^\iy(\T)$ . It turns out that $M(\phi)$ is invertible if and only if the function $\phi$ admits a certain kind of generalized factorization.

Keywords

operator theory

Cite

@article{arxiv.math/0204038,
  title  = {Factorization theory for a class of Toeplitz + Hankel operators},
  author = {Estelle Basor and Torsten Ehrhardt},
  journal= {arXiv preprint arXiv:math/0204038},
  year   = {2007}
}

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