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Sobolev圆盘代数上的乘法算子

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摘要 研究一类由单位圆盘D上的Sobolev空间W2,2(D)中的解析函数构成的代数,称之为Sobolev圆盘代数,给出了其上的有界线性乘法算子Mf的基本性质,刻画了乘法算子Mf的换位子代数,证明了A'(Mf)是交换的当且仅当Mf*是指标为1的Cowen-Douglas算子.
出处 《中国科学(A辑)》 CSCD 北大核心 2005年第7期757-773,共17页 Science in China(Series A)
基金 国家自然科学基金资助项目(批准号:10071020)
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参考文献1

  • 1JIANG Chunlan & HE HuaDepartment of Mathematics, Hebei University of Technology, Tianjin 300130, China,Department of Mathematics, Universtiy of Pueto Rico, Rio Piedras San Juan, PR 00931, USA,Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China.Quasisimilarity of Cowen-Douglas operators[J].Science China Mathematics,2004,47(2):297-310. 被引量:12

二级参考文献11

  • 1M. J. Cowen,R. G. Douglas.Complex geometry and operator theory[J].Acta Mathematica.1978(1)
  • 2Aupetit B A.Primer on Spectral Theory[]..1990
  • 3Gilfeather,E.Strong reducibility of operators, Indiana Univ[].Mathematica Journal.1972
  • 4Halmos,E R.Irreducible operators, Mich[].Mathematica Journal.1968
  • 5COWEN M J,DOUGLAS R G.Complex geometry and operator theory[].Acta Mathematica.1978
  • 6?ubin,M. A.Factorization of parameter-dependent matrix functions in normal rings and certain related questions in the theory of Noetherian operators[].Matematicheskii Sbornik.1967
  • 7Davidson, K. R,Herrero, D. A.The Jordan form of bitriangular operator[].Journal of Functional Analysis.1990
  • 8Jiang,Z. J.Topics in operator theory, Seminar Reports in Functional Analysis[]..1979
  • 9Agler, J,Franks, E,Herrero, D, A.Spectral pictures of operators quasisimilar to the unilateral shift[].Reine and Angewandte Mathematic.1991
  • 10Fong, C, K,Jiang, C. L.Approximation by Jordan type operators[].Houston Journal of Mathematics.1993

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