Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators

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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Veröffentlicht in:Acta mathematica Sinica. English series 2018-09, Vol.34 (9), p.1473-1484
Hauptverfasser: Li, Lin, Chen, Alatancang, Wu, De Yu
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-018-7267-7