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非交换C^*-代数张量积的纯态和谱 被引量:1

Pure States and Spectra of Tensor Products of Non-commuting C ^* - algebras
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摘要 讨论了非交换C*-代数的谱与纯态值域,得到了C*-代数张量积中两个元的本质纯态值域的表示. In this paper, the pure state ranges of non-commuting C^*-algebras are discussed and a representation of the essential pure state range of a pair of elements in the tensor products algebra of non-commuting C^* -algebras are obtained.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第3期507-510,共4页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(10371082)
关键词 C^*-代数 纯态 纯态值域 C^*-algebras pure state pure state range
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参考文献7

  • 1Buoni J J, Wadhwa B L. On joint numerical ranges[J]. Pacific J. Math, 1978, 77(2) :303.
  • 2Murphy G J. C^* -algebras and operator theory[M]. New York:Academic Press, 1988.
  • 3Haknos P R. A Hilbert space problem book[ M]. Princeton, New Jersey: Van Nostrand-Reinhold, 1967.
  • 4Guiehardel A. Tensor products of C^*-algebras[J]. Dokl. Akad. Nauk. SSSR, 1965, 160:986.
  • 5Vowden B J. C^*-norm and tensor product of C^*-algebras[J]. J. London Math. Soc, 1974, 7:595.
  • 6Vasilescu F H. Tensor products and the joint spectrum in Hilbert space[J]. Proc. Amer. Math. Soc, 1978, 72:505.
  • 7胡善文.JOINT ESSENTIAL SPECTRUM AND INDEX OF TENSOR PRODUCT OF LINEAR OPERATORS IN BANACH SPACES[J].Chinese Science Bulletin,1989,34(11):885-888. 被引量:1

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  • 3Tucker L R.Some mathematical notes on three-mode factor analysis[J].Psychometrika,1966,31(3):279.
  • 4Lathauwer L D,Moor B D,Vandewalle J.On the best rank-1 and rank-(R1,R2,...,RN) approximation of higher-order tensors[J].Society for Industrial and Applied Mathematics Philadelphia,2000,21(4):1324.
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