Relationships between invariant subspaces and deflating subspaces of a regular pair \((F,G)\). (English) Zbl 0770.47001
For a regular pair \((F,G)\) the relationship between the deflating subspaces and \(\Phi-(F,G)\)-invariant subspaces of the domain of \((F,G)\) is established. The characterization of deflating subspaces by invariants allows the extension of perturbation results to the case of \(\Phi-(F,G)\)- invariant subspaces.
Reviewer: T.Ichinose (Kanazawa)
MSC:
| 47A15 | Invariant subspaces of linear operators |
| 47A53 | (Semi-) Fredholm operators; index theories |
| 47A55 | Perturbation theory of linear operators |
