Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations

DOI10.1007/BF01691916zbMath0516.47022OpenAlexW2028755140WikidataQ114233935 ScholiaQ114233935MaRDI QIDQ1052617

Leiba Rodman, André C. M. Ran

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01691916

zbMATH Keywords

indefinite inner productfactorizationselfadjoint rational matrix functionsstably invariant subspacesstably neutral

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) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations, Suboptimal Markovian smoothing estimates based on continuous curves of solutions of the algebraic Riccati inequality, Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Weak stability of factorizations of operator pencils, Rate of stability of solutions of matrix polynomial and quadratic equations, Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications, Stability of invariant maximal semidefinite subspaces. I, Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices

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