|
|||||
|
|
Lower bound for the spectrum and the presence of pure point spectrum of a singular discrete Hamiltonian system |
|
| Authors: | Jiangang Qi Shaozhu Chen |
| Institution: | a Post-Doctoral Station of Southwest Petroleum Institute, Sichuan, Nanchong 637001, PR China b Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, PR China c Department of Mathematics, Shandong University at Weihai, Weihai, Shandong 264209, PR China |
| Abstract: | In this paper, criteria for limit-point (n) case of a singular discrete Hamiltonian system are established. Furthermore, the lower bound of the essential spectrum is obtained and the present of pure point spectrum is discussed for such system by using the spectral theory of self-adjoint operators in a Hilbert space. |
| Keywords: | Singular discrete Hamiltonian system Titchmarsh-Weyl theory Self-adjoint operator Spectrum |
| 本文献已被 ScienceDirect 等数据库收录！ | |