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On invertible nonnegative Hamiltonian operator matrices

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Abstract

Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that the main results in the previously published papers are corollaries of the new theorems. Most of all we want to stress the method of proof. It is based on the connections between Pauli operator matrices and nonnegative Hamiltonian matrices.

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Authors and Affiliations

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

    Guo Hai Jin, Guo Lin Hou, Alatancang Chen & De Yu Wu

Authors
  1. Guo Hai Jin
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  2. Guo Lin Hou
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  3. Alatancang Chen
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  4. De Yu Wu
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Correspondence to Guo Lin Hou.

Additional information

Supported by Natural Science Foundation of China (Grant Nos. 11361034, 11371185, 11101200), Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20111501110001), Major Subject of Natural Science Foundation of Inner Mongolia of China (Grant No. 2013ZD01), and Natural Science Foundation of Inner Mongolia of China (Grant No. 2012MS0105)

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Jin, G.H., Hou, G.L., Chen, A. et al. On invertible nonnegative Hamiltonian operator matrices. Acta. Math. Sin.-English Ser. 30, 1763–1774 (2014). https://doi.org/10.1007/s10114-014-3490-z

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  • DOI: https://doi.org/10.1007/s10114-014-3490-z

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