Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636211 | Applied Mathematics and Computation | 2006 | 14 Pages |
Abstract
In this paper, we give the definition of maximal and minimal operators for linear Hamiltonian systems and investigate the relationship between the conjugate scalar product in a weighted Hilbert space and the skew-symmetric boundary form of the associated singular Hamiltonian operator, namely, the one-to-one correspondence between the set of self-adjoint extensions of the minimal operator and the set of Lagrangian symplectic subspaces. These results extend and improve the classical Glazman–Krein–Naimark (GKN) theory for quasi-differential operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaowen Zheng, Shaozhu Chen,