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The distance to a similarity-invariant set of operators

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Publication:1171739
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DOI10.1007/BF01694034zbMath0499.47012MaRDI QIDQ1171739

Domingo A. Herrero

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

essential spectrumsemi-Fredholm domainapproximation of operatorsbiquasitriangular operatorsdistance of a given operator on a Hilbert space to sets of operators invariant under similarities and compact perturbationsmulticyclic operatorsquasisingular operators


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Approximation by operators (in particular, by integral operators) (41A35) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)


Related Items

Limits of hypercyclic and supercyclic operators ⋮ The closure of the similarity orbit of a Hilbert space operator



Cites Work

  • On multicyclic operators
  • On the Spectra of the Restrictions of an Operator
  • The closure of the similarity orbit of a Hilbert space operator
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