An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form

DOI10.1023/A:1012331029364zbMath1017.47011MaRDI QIDQ5959536

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Publication date: 28 August 2003

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(e\)-dichotomous operator functionconditional reducibility of nonnegative Hamiltonian operator functionsreduction operator

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear differential equations in abstract spaces (34G10) Canonical forms, reductions, classification (15A21) Linear operators on spaces with an indefinite metric (47B50)

Related Items (10)

Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices ⋮ On invertible nonnegative Hamiltonian operator matrices ⋮ Singular perturbations in control problems ⋮ Structure of the spectrum of infinite dimensional Hamiltonian operators ⋮ Invertibility of nonnegative Hamiltonian operator with unbounded entries ⋮ Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions ⋮ Symplectic self-adjointness of infinite dimensional Hamiltonian operators ⋮ On symplectic self-adjointness of Hamiltonian operator matrices ⋮ Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators ⋮ On the boundedness of Hamiltonian operators

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