Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions

DOI10.1007/s00020-012-1964-xzbMath1276.47050OpenAlexW2056334463MaRDI QIDQ714636

I. V. Gridneva, Tomas Ya. Azizov, Aalt Dijksma

Publication date: 11 October 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1964-x

zbMATH Keywords

angular operatorsignature operatorHamiltonian operator functiondiagonalisation\(J\)-dissipative\(J\)-nonnegative\(J\)-nonpositive\(J\)-self-adjointconditionally reducibleinterpolation space \(J\)-spaceKrejn space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations

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