【作者】 红梅；

【导师】 吴德玉；

【作者基本信息】 内蒙古大学 ， 数学， 2015， 硕士

【摘要】 本文首先介绍了非负Hamilton算子有关的研究背景.其次,探讨研究了非负Hamilton算子的可逆性问题,给出了斜对角元有界或主对角元有界的非负Hamilton可逆的充要条件,举例证明了结论的重要性.最后,探讨研究非负Hamilton值域的闭性,推出了非负Hamilton可逆的充要条件.更多还原

【Abstract】 To begin with, the research of nonnegatively Hamiltonian operator is briefly outlined. Besides, studying the invertibility of nonnegatively Hamiltonian operator. Furthermore, the necessary and sufficient conditions for invertibility of bounded oblique diagonal ele-ments or main diagonal elements of nonnegatively Hamiltonian operator are given.More-over, a concrete example is presented to illustrate the results. In the end,researching the close of A(H) and inferring the necessary and sufficient conditions for invertibility of nonnegatively Hamiltonian operator.更多还原