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Invariant Subspaces for Operators with Thick Spectra

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Book cover Web Information Systems and Mining (WISM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7529))

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Abstract

The famous computer scientist J. von Neumann initiated the research of the invariant subspace theory and its applications. This paper show that every polynomially bounded operator with thick spectrum on a Banach space has a nontrivial invariant closed subspace.

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

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Author information

Authors and Affiliations

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

    Mingxue Liu

Authors
  1. Mingxue Liu
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Editor information

Editors and Affiliations

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

    Fu Lee Wang

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

    Jingsheng Lei

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

    Zhiguo Gong

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

    Xiangfeng Luo

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Liu, M. (2012). Invariant Subspaces for Operators with Thick Spectra. In: Wang, F.L., Lei, J., Gong, Z., Luo, X. (eds) Web Information Systems and Mining. WISM 2012. Lecture Notes in Computer Science, vol 7529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33469-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-33469-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33468-9

  • Online ISBN: 978-3-642-33469-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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