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C^*-代数上矩阵的数值域及其性质 被引量:1

Properties of Numerical Ranges of The Matrices on C * - Algebra
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摘要 本文定义了C -代数上的矩阵 ,给出了其上矩阵数值域的定义及相关定义 ,得到了C 代数上矩阵的数值域的性质 . In this paper, we firstly define the matrices on C*-Algebra, then we proceed with defining their numerical ranges and some related definitions, in the end we study the numerical ranges of the matrices on the C*-Algebra and obtain some properties of them.
出处 《安康师专学报》 2001年第4期51-54,共4页 Journal of Ankang Teachers College
基金 国家自然科学基金资助项目 (197710 56)
关键词 性质 C^*-代数 矩阵 数值域 C*-Algebra matrix numerical range
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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.

同被引文献4

  • 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.

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