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arXiv:math/0512465 [math.FA]AbstractReferencesReviewsResources

On the invariant subspace problem for dissipative operators in Krein spaces

A. A. Shkalikov

Published 2005-12-20, updated 2005-12-22Version 2

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.

Comments: 8 pages
Categories: math.FA
Subjects: 47A15, 47B50
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