Brown-Halmos type characterization for the tetrablock

Fuente: arXiv
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Main Authors: Jain, Shubham, Kumar, Surjit, Mal, Milan Kumar, Pramanick, Paramita
Format: Preprint
Published: 2025
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_version_ 1866912459669897216
author Jain, Shubham
Kumar, Surjit
Mal, Milan Kumar
Pramanick, Paramita
author_facet Jain, Shubham
Kumar, Surjit
Mal, Milan Kumar
Pramanick, Paramita
contents In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero operator is the only compact Toeplitz operator.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00998
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Brown-Halmos type characterization for the tetrablock
Jain, Shubham
Kumar, Surjit
Mal, Milan Kumar
Pramanick, Paramita
Functional Analysis
30H10, 47B35, 32A10, 47B32
In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero operator is the only compact Toeplitz operator.
title Brown-Halmos type characterization for the tetrablock
topic Functional Analysis
30H10, 47B35, 32A10, 47B32
url https://arxiv.org/abs/2507.00998