On the invariant subspace problem for dissipative operators in Krein spaces

Mathematics – Functional Analysis

Scientific paper

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8 pages

Scientific paper

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.

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