On principal invariant subspaces

DOI10.1007/s10114-015-4362-xzbMath1325.47017OpenAlexW2398963787MaRDI QIDQ746966

Xiao Chun Fang, Xiao-Ming Xu

Publication date: 22 October 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4362-x

zbMATH Keywords

Hilbert spaceinvariant subspaceoperator matrixprincipal invariant subspace

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Linear spaces of operators (47L05)

Cites Work

• Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods
• Principal Angles between Subspaces in an A-Based Scalar Product: Algorithms and Perturbation Estimates
• On the angle and the minimal angle between subspaces
• Principal invariant subspaces theorems
• Spectral characterizations of in mum and supremum cosine angle between two closed subspaces
• A new characterization of gaps between two subspaces
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