On determinants and inverses of some triband Toeplitz matrices with permuted columns

Li, Pingyun; Jiang, Zhaolin; Zheng, Yanpeng

doi:10.22436/jmcs.020.03.02

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2023

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Cited by 2 publications

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“…In the setting of Bergman space, more information about the invertibility of Toeplitz operators can be found in [3]. We focus on the invertibility and Fredholm properties of the Toeplitz operator, which are quite different from the approach and content in the literature [4].…”

Section: Introduction and Notationsmentioning

confidence: 99%

Invertibility and Fredholm Property of Fock Toeplitz Operators

Tao

2023

Mathematics

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We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded functions of vanishing oscillation. We show the Fredholm index of the Toeplitz operator via the winding of its Berezin transform along a sufficiently large circle and provide a characterization of invertible Toeplitz operators with non-negative symbols, possibly unbounded, such that the Berezin transforms of the symbols are bounded and of vanishing oscillation.

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Section: Introduction and Notationsmentioning

confidence: 99%