Stability of invariant Lagrangian subspaces. I. (English) Zbl 0658.47010
Topics in operator theory, Constantin Apostol Mem. Issue, Oper. Theory, Adv. Appl. 32, 181-218 (1988).
[For the entire collection see Zbl 0641.00017.]
The paper is devoted to the analysis and applications of stability properties of important classes of invariant subspaces with symmetries - Lagrangian subspaces. These subspaces are invariant for real matrices which are either symmetric or skew-symmetric with respect to a real quadratic form, and they are maximal isotropic with respect to the same quadratic form.
The paper is devoted to the analysis and applications of stability properties of important classes of invariant subspaces with symmetries - Lagrangian subspaces. These subspaces are invariant for real matrices which are either symmetric or skew-symmetric with respect to a real quadratic form, and they are maximal isotropic with respect to the same quadratic form.
Reviewer: V.A.Zagrebnov
MSC:
| 47A15 | Invariant subspaces of linear operators |
