이종락

[논문] Normal Toeplitz Operators on the Fock Spaces

Symmetry

2.713

EISSN: 2073-8994

12(10)

SCIE

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

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: Toeplitz operator; normal operator; Fock spaces
MSC: Primary 47B35, 47B15; Secondary 30H20

Jongrak Lee

2020-09-29

https://doi.org/10.3390/sym12101615