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Fock空间上的对偶Toeplitz代数

Dual Toeplitz Algebra on the Fock Space
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摘要 通过符号映射研究Fock空间之正交补空间上对偶Toeplitz代数的结构,得到了Fock空间上对偶Toeplitz代数的一个短正合序列.并研究了对偶Toeplitz算子谱的性质. In this paper, we construct a symbol map to study the structure of the dual Toeplitz algebra on the Fock Space, and we obtain a short exact sequence on the dual Toeplitz algebra. Besides, some spectral properties of the dual Toeplitz operators are discuced.
作者 叶鹏 于涛
出处 《应用泛函分析学报》 CSCD 2010年第4期346-351,共6页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(10971195) 浙江省自然科学基金(Y6090689)
关键词 FOCK空间 对偶TOEPLITZ算子 对偶Toeplitz代数 短正合序列 Fock space dual Toeplitz operator dual Toeplitz algebra short exact sequence
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参考文献11

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二级参考文献8

  • 1[1]Janson S,Peetre J,Rochberg R.Hankle forms and the Fock spare[J].Rev Mat Iberoamericana,1987,3:61-138.
  • 2[2]Guillemin V.Toeplitz operators in n-dimensions[J].Integr Equat Oper Th,1984,7:145-205.
  • 3[3]Berger C A,Coburn L A.Toeplitz opertors on the Segal-Bargmann Space[J].Trans Amer Math Soc,1987,301:813-829.
  • 4[4]Stroethoff K.Hankel and Toeplitz operators on the Fock space[J].Michigan Math J,1992,39:3-16.
  • 5[5]Brown A,Halmos P R.Algebraic properties of Toeplitz operators[J].J Reine Angew Math,1964,213:89-102.
  • 6[6]Axler S,Zheng D C.Compact operators via Berezin transform[J].Indiana Univ Math J,1998,47:387-400.
  • 7[7]Stroethoff K,Dechao Zheng.Algebraic and spectral properties of dual Toeplitz operators[J].Trans Amer Math Soc,2002,354:2495-2520.
  • 8[8]Rudin W.Real and Complex Analysis[M].2nd Ed.New York:McGraw-Hill,1974:187.

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