Factorization theory for a class of Toeplitz + Hankel operators

Abstract

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

References in corpus (1)

• Invertibility of Toeplitz + Hankel Operators and Singular Integral Operators with Flip - The case of smooth generating functions

Cited by in corpus (5)

• Factorization of a class of Toeplitz + hankel operators and the A_p-condition
• Correlations for symplectic and orthogonal Schur measures
• On the Determinant of a Certain Wiener-Hopf + Hankel Operator
• Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers
• Structure of Kernels and Cokernels of Toeplitz plus Hankel Operators