The a priori \(\tan \Theta\) theorem for spectral subspaces

DOI10.1007/s00020-012-1976-6zbMath1276.47010arXiv1012.1569OpenAlexW3102475663MaRDI QIDQ1928561

Sergio A. Albeverio, Alexander K. Motovilov

Publication date: 3 January 2013

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

Full work available at URL: https://arxiv.org/abs/1012.1569

zbMATH Keywords

operator Riccati equationsubspace perturbation problemoff-diagonal perturbation\(\tan\theta \) theoremDavis-Kahan\(\sin\Theta\) theorem

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Invariant subspaces of linear operators (47A15) Equations involving linear operators, with operator unknowns (47A62)

Related Items (3)

Alternative proof of the a priori \(\tan \theta\) theorem ⋮ Notes on the \(\sin 2\Theta\) theorem ⋮ Solvability of the operator Riccati equation in the Feshbach case

Cites Work

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• Spectral inclusion for unbounded block operator matrices
• Relative perturbation theory. IV: \(\sin 2\theta\) theorems
• On the existence of solutions to the operator Riccati equation and the \(\tan\Theta\) theorem
• The \(\operatorname{Tan}2\Theta \) theorem for indefinite quadratic forms
• Perturbation of spectra and spectral subspaces
• Graph Subspaces and the Spectral Shift Function
• The A Priori Tan $\Theta$ Theorem for Eigenvectors
• The Rotation of Eigenvectors by a Perturbation. III

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