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调和Dirichlet空间上的Toeplitz代数(英文) 被引量:2

Toeplitz Algebra on the Harmonic Dirichlet Space
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摘要 在调和Dirichlet空间上,利用Toeplitz算子的矩阵表达式对紧算子进行研究.并应用所得结论,建立了与Toeplitz代数相关的短正合列. Compact Toeplitz operators on the harmonic Dirichlet space are studied by their matrix representation. Applying this result, the short exact sequence associated with the Toeplitz algebra is established.
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 2008年第2期251-259,265,共10页 Journal of Fudan University:Natural Science
关键词 TOEPLITZ算子 紧算子 调和Dirichlet空间 Toeplitz operator compact operator harmonic Dirichlet space
作者简介 Biography: ZHANG Zheng-liang(1973-) ,male, lecturer, visiting scholar in Fudan University sponsored by the Ministry of Education(2006.9-2007.7 ).
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参考文献5

  • 1Guo K,Zheng D. Toeplitz algebra and Hankel algebra on the harmonic Bergman space[J]. J Math Anal Appl, 2002,2711: 213-230.
  • 2Cao G. Fredholm properties of Toeplitz operators on Difichlet spaces[J]. Pacific J Math, 1999,188.209-223.
  • 3Lee Y. Algebraic properties of Toeplitz operators on the Dirichlet space[J]. J Math Anal Appl, 2007,329:1316- 1329.
  • 4Rochberg R,Wu Z. Toeplitz operators on Dirichlet spaces[ J ]. Integr Equat Oper Th, 1992,15:325-342.
  • 5Hirsch M W. Differential topology[ M]. New York: Springer-Verlag, 1976.

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