On rank-one perturbations of normal operators
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Publication:2466524
DOI10.1016/j.jfa.2007.09.007zbMath1134.47004OpenAlexW1987520976MaRDI QIDQ2466524
Il Bong Jung, Carl Pearcy, Eungil Ko, Ciprian Foias
Publication date: 15 January 2008
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2007.09.007
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)
Related Items (15)
Finite rank perturbations of normal operators: spectral subspaces and Borel series ⋮ Hyponormality of finite rank perturbations of normal operators ⋮ Rank-one perturbation of weighted shifts on a directed tree: partial normality and weak hyponormality ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Spectral decomposability of rank-one perturbations of normal operators ⋮ Finite rank perturbations of normal operators: spectral idempotents and decomposability ⋮ Rank one perturbations of diagonal operators without eigenvalues ⋮ Gaps of operators via rank-one perturbations ⋮ Decomposability, past and present ⋮ Reducing subspaces for rank-one perturbations of normal operators ⋮ Weighted join operators on directed trees ⋮ Invariant subspaces for certain finite-rank perturbations of diagonal operators ⋮ Resolvent algebra of finite rank operators ⋮ Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space ⋮ Weighted shifts on directed trees
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