一类无穷维Hamilton算子的Fredholm性及本质谱  

The Property of Fredholm and Essential Spectrum of a Class of Infinite Dimension Hamiltonian Operator

作　　者：邢利刚[1,2] 阿拉坦仓[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021 [2]内蒙古财经学院统计与数学学院,内蒙古呼和浩特010051

出　　处：《数学的实践与认识》2012年第17期245-250,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10962004)

摘　　要：讨论了一类无穷维Hamilton算子的Fredholm性,由于无穷维Hamilton算子是分块算子矩阵,将它的Fredholm性用它的元素算子的某种组合来描述,给出了无穷维Hamilton算子是Fredholm算子的充分必要条件.In this article we discuss the property of fredholm of a class of infinite dimension Hamiltonian operator.We describe the property of fredholm of a class of infinite dimension Hamiltonian operator with one combination of its elements of operator.we obtain a necessary and sufficient condition of the property of fredholm of a class of infinite dimension Hamiltonian operator,and give a example.

关 键 词：无穷维HAMILTON算子 FREDHOLM算子 算子矩阵 

分 类 号：O177[理学—数学]