CHANGE OF JORDAN STRUCTURE OFG-SELFADJOINT OPERATORS AND SELFADJOINT OPERATOR-VALUED FUNCTIONS UNDER SMALL PERTURBATIONS

DOI10.1070/IM1991v037n02ABEH002068zbMath0733.47036OpenAlexW2104851545MaRDI QIDQ3359260

V. R. Ol'shevskij

Publication date: 1991

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1991v037n02abeh002068

zbMATH Keywords

indefinite inner productinvertible selfadjoint operatorlengths of Jordan chainsperturbations of holomorphic operator functions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) 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 operators on spaces with an indefinite metric (47B50)

Related Items (3)

Cyclic dimensions, controllability subspaces and Gohberg-Kaashoek numbers ⋮ Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers ⋮ Lipschitz stability of canonical Jordan bases of \(H\)-selfadjoint matrices under structure-preserving perturbations

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