Characterizations of Toeplitz operators on the annulus

We establish algebraic characterizations of Toeplitz operators on the Hardy space on the annulus. As an application, we characterize compact perturbations of Toeplitz operators.

Authors

Jaydeb Sarkar (ORCID: https://orcid.org/0000-0001-5938-1491)
Shubham Jain (ORCID: https://orcid.org/0000-0001-7013-5814)

Publication Details

Journal: arXiv (Cornell University)
Published: 2026-10-29
DOI: https://doi.org/10.48550/arxiv.2610.40118
Primary Topic: Holomorphic and Operator Theory
Type: preprint

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preprint

Characterizations of Toeplitz operators on the annulus

Jaydeb Sarkar, Shubham Jain

Oct 29, 2026

arXiv (Cornell University)

Holomorphic and Operator Theory

preprint

Characterizations of Toeplitz operators on the annulus

Jaydeb Sarkar, Shubham Jain

October 29, 2026preprint en

Abstract

We establish algebraic characterizations of Toeplitz operators on the Hardy space on the annulus. As an application, we characterize compact perturbations of Toeplitz operators.

arXiv (Cornell University)

Holomorphic and Operator Theory

DOI Open Access PDF OpenAlex

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Characterizations of Toeplitz operators on the annulus — Jaydeb Sarkar, Shubham Jain · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS