On the invariant subspace problem for dissipative operators in Krein spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106318We 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.8 pagesFunctional Analysis47A15; 47B50On the invariant subspace problem for dissipative operators in Krein spacestext