Details
| Original language | English |
|---|---|
| Article number | 40 |
| Number of pages | 26 |
| Journal | Integral Equations and Operator Theory |
| Volume | 91 |
| Issue number | 5 |
| Publication status | Published - 1 Oct 2019 |
Abstract
Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and Cn are discussed. Results are presented on the asymptotics ‖Tfλ‖λ→‖f‖∞‖TfλTgλ-Tfgλ‖λ→0‖λi[Tfλ,Tgλ]-T{f,g}λ‖λ→0for λ→ ∞, where the symbols f and g are from suitable function spaces. Further, results on the essential spectrum of such Toeplitz operators with certain symbols are derived.
Keywords
- Essential spectrum, Pluriharmonic functions, Quantization, Toeplitz operators
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Algebra and Number Theory
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In: Integral Equations and Operator Theory, Vol. 91, No. 5, 40, 01.10.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Toeplitz Operators on Pluriharmonic Function Spaces
T2 - Deformation Quantization and Spectral Theory
AU - Fulsche, Robert
PY - 2019/10/1
Y1 - 2019/10/1
N2 - Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and Cn are discussed. Results are presented on the asymptotics ‖Tfλ‖λ→‖f‖∞‖TfλTgλ-Tfgλ‖λ→0‖λi[Tfλ,Tgλ]-T{f,g}λ‖λ→0for λ→ ∞, where the symbols f and g are from suitable function spaces. Further, results on the essential spectrum of such Toeplitz operators with certain symbols are derived.
AB - Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and Cn are discussed. Results are presented on the asymptotics ‖Tfλ‖λ→‖f‖∞‖TfλTgλ-Tfgλ‖λ→0‖λi[Tfλ,Tgλ]-T{f,g}λ‖λ→0for λ→ ∞, where the symbols f and g are from suitable function spaces. Further, results on the essential spectrum of such Toeplitz operators with certain symbols are derived.
KW - Essential spectrum
KW - Pluriharmonic functions
KW - Quantization
KW - Toeplitz operators
U2 - 10.48550/arXiv.1901.02644
DO - 10.48550/arXiv.1901.02644
M3 - Article
AN - SCOPUS:85071737374
VL - 91
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
SN - 0378-620X
IS - 5
M1 - 40
ER -