Perturbation of spectra and spectral subspaces

DOI10.1090/S0002-9947-06-03930-4zbMath1115.47014arXivmath/0306025OpenAlexW2098660223MaRDI QIDQ3420302

Vadim Kostrykin, Alexander K. Motovilov, Konstantin A. Makarov

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306025

zbMATH Keywords

perturbation theoryspectral projectionsspectral subspaces

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (13)

Non-symmetric perturbations of self-adjoint operators ⋮ Rational eigenvalue problems and applications to photonic crystals ⋮ On an estimate in the subspace perturbation problem ⋮ Applications of fixed point theorems in the theory of invariant subspaces ⋮ The a priori \(\tan \Theta\) theorem for spectral subspaces ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ 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 ⋮ REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED ⋮ Notes on the subspace perturbation problem for off-diagonal perturbations ⋮ Spectral inclusion for unbounded block operator matrices

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