Some spectral mapping theorems through local spectral theory

DOI10.1007/BF02872869zbMath1096.47005OpenAlexW2035243826MaRDI QIDQ2569852

Maria Teresa Biondi, Pietro Aiena

Publication date: 27 September 2006

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02872869

zbMATH Keywords

Weyl's theoremWeyl operatorsspectral mapping theoremSVEPsemi-Browder operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Related Items (3)

Properties \((B)\) and \((gB)\) for bounded linear operators ⋮ A note on property \((gb)\) and perturbations ⋮ The Weyl's theorem and its perturbations in semisimple Banach algebra

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• The single valued extension property on a Banach space
• Operators which do not have the single valued extension property
• Single-valued extension property at the points of the approximate point spectrum.
• Spectral mapping theorems for essential spectra
• Spectral operators
• Semi-Browder operators and perturbations
• Approximate point spectrum and commuting compact perturbations
• Generalized spectrum and commuting compact perturbations
• Operators which have a closed quasi-nilpotent part
• Another note on Weyl’s theorem
• The spectral mapping theorem for the essential approximate point spectrum
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Semi-Fredholm Operators with Finite Ascent or Descent and Perturbations
• A spectral mapping theorem for the Weyl spectrum
• SEMI-FREDHOLM OPERATORS AND LOCAL SPECTRAL THEORY
• Spectral Mapping Theorems and Perturbation Theorems for Browder's Essential Spectrum
• Sur la Theorie Spectrale Locale et Limite des Nilpotents
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