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有界线性算子的一个谱扰动问题

The Problem on the Perturbation of Bounded Linear Operators
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摘要 对于A=(?)是H=H1(?)H2上的有界线性算子,通过引入σs(A)集合,并得到σs(A) 的结果. Let be a bounded linear operator on the Hilbert space ,According to the relation between the numerical range and its spectrum of bounded linear operators on a Hilbert space, we introduce into ,and get an importance result concerning it in the following: ,in which be the bounded linear operator on the Hilbert space and.
作者 张景杰 乔梓
出处 《安康师专学报》 2004年第4期62-64,共3页 Journal of Ankang Teachers College
关键词 界线性算子 算子矩阵 谱扰动 数值域 bounded linear operator operator matrix spectrum
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参考文献5

  • 1[1]Convey J.B.A., A course in functional analysis, GTM, 1965.
  • 2[2]Gustafson K.E., Rao D. K.M., Numerical range, the field of values of linear operators and matrices, Spinger, 1997.
  • 3[3]Horn R.A., Johnson C.R., Matrix analysis, Cambridge University Press, Cambridge, 1985.
  • 4[4]Hadwin D.W., Harrison K.J., Numerical ranges and matrix completions, Linear algebra and its appl., 2000.
  • 5张景杰,姚喜妍.C^*-代数上矩阵的数值域及其性质[J].安康师专学报,2001,13(4):51-54. 被引量:1

二级参考文献3

  • 1R. Horn and C. R. Johnson. Topics in Matrix Analysis [M]. Cambridge University Press, 1985.
  • 2G. J. Murphy. C*-Algebras And Operator Theory [M]. Academic Press, Inc, 1990.
  • 3P. H. Halnos. A Hilbert Space Problem Book, 2nd ed., Springer-Verlag [M]. New York, 1982.

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