Normal toeplitz operators on the fock spaces

Jongrak Lee

doi:10.3390/sym12101615

Normal toeplitz operators on the fock spaces

Jongrak Lee

Jeju National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We characterize normal Toeplitz operator on the Fock spaces F² (C). First, we state basic properties for Toeplitz operator T_ϕ on F² (C). Next, we study the normal Toeplitz operator T_ϕ on F² (C) in terms of harmonic symbols ϕ. Finally, we characterize the normal Toeplitz operators T_ϕ with non-harmonic symbols acting on F² (C).

Original language	English
Article number	1615
Pages (from-to)	1-9
Number of pages	9
Journal	Symmetry
Volume	12
Issue number	10
DOIs	https://doi.org/10.3390/sym12101615
State	Published - Oct 2020
Externally published	Yes

Keywords

Fock spaces
Normal operator
Toeplitz operator

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10.3390/sym12101615

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title = "Normal toeplitz operators on the fock spaces",

abstract = "We characterize normal Toeplitz operator on the Fock spaces F2 (C). First, we state basic properties for Toeplitz operator Tϕ on F2 (C). Next, we study the normal Toeplitz operator Tϕ on F2 (C) in terms of harmonic symbols ϕ. Finally, we characterize the normal Toeplitz operators Tϕ with non-harmonic symbols acting on F2 (C).",

keywords = "Fock spaces, Normal operator, Toeplitz operator",

author = "Jongrak Lee",

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year = "2020",

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AB - We characterize normal Toeplitz operator on the Fock spaces F2 (C). First, we state basic properties for Toeplitz operator Tϕ on F2 (C). Next, we study the normal Toeplitz operator Tϕ on F2 (C) in terms of harmonic symbols ϕ. Finally, we characterize the normal Toeplitz operators Tϕ with non-harmonic symbols acting on F2 (C).

KW - Fock spaces

KW - Normal operator

KW - Toeplitz operator

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Normal toeplitz operators on the fock spaces

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Keywords

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