On rank-one perturbations of normal operators, II

DOI10.1512/iumj.2008.57.3749zbMath1166.47013OpenAlexW2044727202MaRDI QIDQ3606160

Carl Pearcy, Ciprian Foias, Il Bong Jung, Eungil Ko

Publication date: 26 February 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3749

zbMATH Keywords

rank-one perturbationscommutantsdiagonalizable normal operators

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) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items (12)

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 ⋮ Gaps of operators via rank-one perturbations ⋮ 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 ⋮ On rank-one perturbations of normal operators ⋮ Weighted shifts on directed trees

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