上三角无穷维Hamilton算子特征值的代数指标

Algebraic Index of Eigenvalues of Upper Triangular Infinite-dimensional Hamiltonian Operators

无穷维Hamilton算子特征函数系是否完备与其代数指标有关,研究了上三角无穷维Hamilton算子特征值的代数指标问题,基于主对角元的特征值和特征向量的某些性质,得到上三角无穷维Hamilton算子的几何重数和代数重数.

This paper the algebraic index of eigenvalues of upper triangular infinite -dimensional Hamilton operators is studied. The algebraic index of eigenvalues of upper triangular infinite- dimensional Hamilton operators and algebraic multiplicity are abtained by applying certain properties of their eigen-values and eigenvectors. Moreover , some examples are presented to illustrate these results.