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Problem of invariant subspaces in C*-algebras

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Abstract

Let A be a separable simple C*-algebra. For each ;) on A such that π(a) has a non-trivial invariant subspace in Hπ.

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References

  1. Beauzamy, B., Introduction to Operator Theory and Invariant Subspaces, Amsterdam: North-Holland, 1988.

    MATH  Google Scholar 

  2. Lin Huaxin, Invariant subspace and eigenvalues of element in C*-algebra, Chinese Ann., 1992, 38 (4): 422.

    Google Scholar 

  3. Dixmier, J., C*-Algebras, Amsterdam: North-Holland, 1977.

    MATH  Google Scholar 

  4. Pedersen, G. K., C*-algebras and Their Automorphism Groups, London: Academic Press, 1979.

    MATH  Google Scholar 

  5. Batty, C. J. K., Irreducible representations of inseparable C*- algebras, Rocky Mountain J. Math., 1984, 14(3): 721.

    Article  MATH  MathSciNet  Google Scholar 

  6. Takesaki, M., Theory of Operator Algebras I, New York: Springer-Verlag, 1979.

    MATH  Google Scholar 

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Authors and Affiliations

  1. School of Information Science, Renmin University of China, 100080, Beijing, China

    Lunchuan Zhang

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  1. Lunchuan Zhang
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Correspondence to Lunchuan Zhang.

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Zhang, L. Problem of invariant subspaces in C*-algebras. Sci. China Ser. A-Math. 45, 545–548 (2002). https://doi.org/10.1360/02ys9059

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  • DOI: https://doi.org/10.1360/02ys9059

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