On the invariant subspace problem for dissipative operators in Krein spaces
Functional Analysis
2007-05-23 v2
Abstract
We relax assumptions for a dissipative operator in Krein space to possess a maximal non-negative invariant subspace. Our main result is a generalization of a well-known Pontrjagin-Krein-Langer-Azizov theorem. Then we investigate the semigroup properties of the restriction of the operator onto the invariant subspace.
Cite
@article{arxiv.math/0512465,
title = {On the invariant subspace problem for dissipative operators in Krein spaces},
author = {A. A. Shkalikov},
journal= {arXiv preprint arXiv:math/0512465},
year = {2007}
}
Comments
8 pages