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International Conference on Web Information Systems and Mining

WISM 2011: Web Information Systems and Mining pp 104–108Cite as

An Invariant Subspace Theorem for Sequentially Subdecomposable Operators

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6987))

Abstract

The famous computer scientist J. von Neumann initiated the research of the invariant subspace theory and its applications. In this paper, we obtain an invariant subspace theorem for sequentially subdecomposable operators.

The research was supported by the Natural Science Foundation of P. R. China (No.10771039).

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References

  1. Aronszajn, N., Smith, K.T.: Invariant subspaces of completely continuous operators. Ann. of Math. 60, 345–350 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  2. Beruling, A.: On two problem concerning linear transformations in a Hilbert space. Acta Math. 37, 239–255 (1949)

    Article  Google Scholar 

  3. Foias, C., Jung, I.B., Ko, E., Pearcy, C.: Hyperinvariant subspaces for some subnormal operators. Tran. Amer. Math. Soc. 359, 2899–2913 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Brown, S.: Some invariant subspaces for subnormal operators. Integral Equations and Operator Theory 1, 310–333 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  5. Brown, S., Cheveau, B., Pearcy, C.: Contractions with rich spectrum have invariant subspaces. J. Operator Theory 1, 123–136 (1979)

    MathSciNet  MATH  Google Scholar 

  6. Halmos, R.: A Hilbert Space Problem Book, 2nd edn. Springer, Heidelberg (1982)

    Book  MATH  Google Scholar 

  7. Eschmeir, J.: Operators with rich invariant subspaces lattices. J. Reine. Angew. Math. 396, 41–69 (1989)

    MathSciNet  Google Scholar 

  8. Liu, M.: Invariant subspaces for sequentially subdecomposable operators. Chinese Annals of Mathematics A 22, 343–348 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  9. Mohebi, H., Radjabalipour, M.: Scott Brown’s techniques for perturbations of decomposable operators. Integral Equations and Operator Theory 18, 222–241 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  10. Radjavi, P., Rosenthal, P.: Invariant subspaces. Springer, New York (1973)

    Book  MATH  Google Scholar 

  11. Radjavi, H., Troitsky, V.G.: Invariant sublattices. Illinios Journal of Mathematics 52, 437–462 (2008)

    MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Computer Science and Technology, Guangdong Polytechnic Normal University, Guangzhou, 510665, People’s Republic of China

    Mingxue Liu

Authors
  1. Mingxue Liu
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Editor information

Editors and Affiliations

  1. Department of Computer and Inforamtion Science, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China

    Zhiguo Gong

  2. School of Computer, Shanghai University, 200444, Shanghai, China

    Xiangfeng Luo

  3. College of Computer and Software, Taiyuan University of Technology, 030024, Taiyuan, China

    Junjie Chen

  4. School of Computer and Information Engineering, Shanghai University of Electric Power, 200090, Shanghai, China

    Jingsheng Lei

  5. Department of Business Administration, Caritas Institute of Higher Education, 18 Chui Ling Road, Tseung Kwan O, Hong Kong, China

    Fu Lee Wang

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© 2011 Springer-Verlag Berlin Heidelberg

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Cite this paper

Liu, M. (2011). An Invariant Subspace Theorem for Sequentially Subdecomposable Operators. In: Gong, Z., Luo, X., Chen, J., Lei, J., Wang, F.L. (eds) Web Information Systems and Mining. WISM 2011. Lecture Notes in Computer Science, vol 6987. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23971-7_15

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  • DOI: https://doi.org/10.1007/978-3-642-23971-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23970-0

  • Online ISBN: 978-3-642-23971-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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