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A Note on the Spectral Area of Toeplitz Operators

2015/03/23 by Cheng Chu, Chu, Cheng, Dmitry Khavinson +1
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.CV

paper · pdf · doi:10.48550/arxiv.1503.06731

openalex publication_date 2015/03/23 · arxiv created 2015/08/29 · arxiv updated 2015/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we show that for hyponormal Toeplitz operators, there exists a lower bound for the area of the spectrum. This extends the known estimate for the spectral area of Toeplitz operators with an analytic symbol.

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