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Hilbert K-模上酉群的框架表示 被引量:3

Frame Representation for Unitary System on Hilbert K-modules
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摘要 本文主要研究了Hilbert K-模上酉群的框架表示的一些基本性质,联系框架的强不相交性,得到了Hilbert K-模上酉群的框架表示的重数是有限的. In this paper, the concept of frame representation for unitary system acting on Hilbert K-modules is introduced, and its basic properties are studied, finally, the theory of finiteness of frame multiplicity is obtained by using the strong disjointness of normalized tight frame vectors.
出处 《数学进展》 CSCD 北大核心 2008年第3期374-380,共7页 Advances in Mathematics(China)
关键词 HILBERT K-模 酉群 框架表示 框架重数 Hilbert K-modules unitary group frame representation frame multiplicity
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参考文献4

  • 1Frank, M., Larson, D.R., Frames in Hilbert C^*-modules and C^*-algebras, J. Operator Theory, 2002, 48: 273-314.
  • 2Bakic, D., Guljas, B., Hilbert C^*-modules over C^*-algebras of compact operators, Acta Sci. Math. (Szeged), 2002 math. hr.
  • 3Hart D., Laxson, D.R., Bases and group representations, Memoirs, Amer. Math. Soc., 2000, 147(697): 25-39.
  • 4Lance, E.C., Hilbert C^*-Modules: A Tookit for Operator Algebraists, Cambridge University Press, 1995.

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