Mathematics – Functional Analysis
Scientific paper
2005-12-20
Mathematics
Functional Analysis
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.
Shkalikov A. A.
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