A diagonalization theorem for a type of Hamiltonian using operator theory in spaces with an indefinite metric

DOI10.1016/0041-5553(89)90034-7zbMATH Open0703.47028OpenAlexW1965684087MaRDI QIDQ3482400

Kh. D. Ikramov

Publication date: 1989

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(89)90034-7

zbMATH Keywords

indefinite inner productcanonical formhermitian matrixfactorizations of paraunitary transformations in elementary paraunitary factorspseudoeuclidean

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

On the reducibility of a nonnegatively Hamiltonian periodic operator function in a real Hilbert space to a block diagonal form ⋮ An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form

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