On the existence of maximal semidefinite invariant subspaces forJ-dissipative operators

DOI10.1070/SM2012V203N02ABEH004221zbMath1246.47009arXiv1007.4131OpenAlexW1968357548MaRDI QIDQ2884665

Sergei G. Pyatkov

Publication date: 30 May 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4131

zbMATH Keywords

Krein spaceinvariant subspaceanalytic semigroupdissipative operatorPontryagin space

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Invariant subspaces of linear operators (47A15) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Maximal \(\mathcal{J}\)-semi-definite invariant subspaces of unbounded \(\mathcal{J}\)-selfadjoint operators in Krein spaces ⋮ Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions

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