Notes on the subspace perturbation problem for off-diagonal perturbations

DOI10.1090/proc/13118zbMath1347.47010arXiv1412.6294OpenAlexW3100913080MaRDI QIDQ2814403

Albrecht Seelmann

Publication date: 22 June 2016

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

Full work available at URL: https://arxiv.org/abs/1412.6294

zbMATH Keywords

subspace perturbation problemmaximal angle between closed subspacesspectral subspacesoff-diagonal perturbations

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15)

Related Items (4)

Unifying the treatment of indefinite and semidefinite perturbations in the subspace perturbation problem ⋮ Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains ⋮ Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ Solvability of the operator Riccati equation in the Feshbach case

Cites Work

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• Sharpening the norm bound in the subspace perturbation theory
• Notes on the \(\sin 2\Theta\) theorem
• The length metric on the set of orthogonal projections and new estimates in the subspace perturbation problem
• Perturbation of spectra and spectral subspaces
• On a subspace perturbation problem
• Graph Subspaces and the Spectral Shift Function
• The Rectifiable Metric on the Set of Closed Subspaces of Hilbert Space

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