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A constructive proof of Beurling-Lax theorem

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Abstract

This paper deals with an alternative proof of Beurling-Lax theorem by adopting a constructive approach instead of the isomorphism technique which was used in the original proof.

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Author information

Authors and Affiliations

  1. Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, 510420, China

    Qiuhui Chen

  2. Department of Mathematics, University of Macau, Macau, China

    Tao Qian

Authors
  1. Qiuhui Chen
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  2. Tao Qian
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Corresponding author

Correspondence to Qiuhui Chen.

Additional information

This work was supported by the Multi-Year Research Grant (No.MYRG115(Y1-L4)-FST13-QT), the Multi-Year Research Grant (No.MYRG116(Y1-L3)-FST13-QT), Macau Government (No. FDCT 098/2012/A3), and the Natural Science Foundation of Guangdong Province (No. S2011010004986).

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Chen, Q., Qian, T. A constructive proof of Beurling-Lax theorem. Chin. Ann. Math. Ser. B 36, 141–146 (2015). https://doi.org/10.1007/s11401-014-0870-8

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  • DOI: https://doi.org/10.1007/s11401-014-0870-8

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