Algebraic index of eigenvalues of upper triangular infinite-dimensional Hamiltonian operators. (Chinese. English summary) Zbl 1299.35216
Summary: This paper studies the algebraic index of eigenvalues of upper triangular infinite-dimensional Hamilton operators. The algebraic index of eigenvalues of upper triangular infinite-dimensional Hamilton operators and the algebraic multiplicity are obtained by applying certain properties of their eigenvalues and eigenvectors. Moreover, some examples are presented to illustrate these results.
MSC:
35P10 | Completeness of eigenfunctions and eigenfunction expansions in context of PDEs |
47A75 | Eigenvalue problems for linear operators |