On the existence of solutions to the operator Riccati equation and the \(\tan\Theta\) theorem
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Publication:1772905
DOI10.1007/s00020-003-1248-6zbMath1089.47015arXivmath/0210032OpenAlexW2009163511MaRDI QIDQ1772905
Konstantin A. Makarov, Vadim Kostrykin, Alexander K. Motovilov
Publication date: 21 April 2005
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210032
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15)
Related Items (12)
Alternative proof of the a priori \(\tan \theta\) theorem ⋮ The a priori \(\tan \Theta\) theorem for spectral subspaces ⋮ Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ The tan Θ theorem for definite matrix pairs ⋮ Diagonalization of indefinite saddle point forms ⋮ Notes on the \(\sin 2\Theta\) theorem ⋮ Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations ⋮ On invariant graph subspaces ⋮ Spectral estimates and basis properties for self-adjoint block operator matrices ⋮ Analytic functional calculus for two operators ⋮ Spectral inclusion for unbounded block operator matrices ⋮ Solvability of the operator Riccati equation in the Feshbach case
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