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Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators

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Abstract

Symplectic self-adjointness of infinite dimensional Hamiltonian operators is studied, the necessary and sufficient conditions are given. Using the relatively bounded perturbation, the sufficient conditions about symplectic self-adjointness are shown.

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Acknowledgements

We are grateful to the referees for their valuable comments on this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, P. R. China

    Lin Li & De Yu Wu

  2. Department of Physiology, Hetao College, Bayannur, 015000, P. R. China

    Lin Li

  3. Department of Mathematics, Hohhot Minzu College, Hohhot, 010051, P. R. China

    Alatancang Chen

Authors
  1. Lin Li
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  2. Alatancang Chen
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  3. De Yu Wu
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Corresponding author

Correspondence to Alatancang Chen.

Additional information

Supported by NNSF of China (Grant Nos. 11761029 and 11561048), NSF of Inner Mongolia (Grant No. 2015MS0116) and Natural Science Foundation of Hetao College (Grant No. HYZY201702)

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Li, L., Chen, A. & Wu, D.Y. Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators. Acta. Math. Sin.-English Ser. 34, 1473–1484 (2018). https://doi.org/10.1007/s10114-018-7267-7

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  • DOI: https://doi.org/10.1007/s10114-018-7267-7

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