| n维单位球面上的Toeplitz符号演算 |
| |
| 引用本文： | 孔德芳,徐宪民.n维单位球面上的Toeplitz符号演算[J].应用泛函分析学报,2008,10(4):298-304. |
| |
| 作者姓名： | 孔德芳 徐宪民 |
| |
| 作者单位： | 嘉兴学院数学研究所,浙江,嘉兴,314001 |
| |
| 基金项目： | 国家自然科学基金，浙江省自然科学基金，Jiaxing University Research Subject |
| |
| 摘 要： | 探讨了C^n中单位球面S上Berezin变换和Toeplitz算子的性质，证明了由{Tφ,φ∈L^∞ （S）}所生成的C^＊-代数中算子T的符号恰好为单位球B上函数T（称为T的Berezin变换）的非切向边界值．此外，本文还得到了经典Toeplitz符号演算的有趣推广．
|
| 关 键 词： | Hardy空间 Toeplitz算子 Berezin变换 半交换子理想 |
Toeplitz Symbol Calculus on the Unit Sphere in Cn |
| |
| KONG De-fang,XU Xian-min.Toeplitz Symbol Calculus on the Unit Sphere in Cn[J].Acta Analysis Functionalis Applicata,2008,10(4):298-304. |
| |
| Authors: | KONG De-fang XU Xian-min |
| |
| Institution: | KONG De-fang XU Xian-min Institute of Mathematics,Jiaxing University,Jiaxing 314001,China |
| |
| Abstract: | We investigate the properties of Berezin transform and Toeplitz operators on the unit sphere S in Cn.We obtain the symbol of an operator Tin the C*-algebra I(L∞(S))generated by{Tψ,ψ∈L∞(S))as the nontangential boundary value of a certain function T(~)(called the Berezin transform of T)on the unit hall B.Furthermore,we construct interesting extensions of the classical Toeplitz symbol calculus for Toeplitz operators tO larger operator algebras. |
| |
| Keywords: | Hardy space Toeplitz operator Berezin transform semicommutator ideal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
