Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions

DOI10.1016/j.jfa.2003.08.011zbMath1073.47043OpenAlexW2086223535MaRDI QIDQ1883226

A. I. Barsukov, Tomas Ya. Azizov, Aalt Dijksma

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.08.011

zbMATH Keywords

similaritypower boundedness\(C\)-semigroupsbi-contractions

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50) (C)-semigroups, regularized semigroups (47D60)

Related Items (4)

Crank–Nicolson Scheme for Abstract Linear Systems ⋮ Contractions and the Commutant Lifting Theorem in Kreĭn Spaces ⋮ Decay rate of \(\exp (A^{-1}t)A^{-1}\) on a Hilbert space and the Crank-Nicolson scheme with smooth initial data ⋮ A Besov algebra calculus for generators of operator semigroups and related norm-estimates

Cites Work

• Classes of linear operators. Vol. I
• Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
• Tauberian Theorems and Stability of One-Parameter Semigroups
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