Components of generalized Kato resolvent set and single-valued extension property

DOI10.1007/s11464-012-0207-4zbMath1287.47002OpenAlexW1516526721MaRDI QIDQ1758132

Qiaofen Jiang, Huai Jie Zhong

Publication date: 7 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0207-4

zbMATH Keywords

Banach spacegeneralized Kato decompositionsingle-valued extension property

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Related Items (9)

Unnamed Item ⋮ Generalized Kato decomposition and essential spectra ⋮ Generalized Kato-Riesz decomposition and generalized Drazin-Riesz invertible operators ⋮ Regular linear relations on Banach spaces ⋮ Retracted: Spectral mapping theorem for generalized Kato spectrum ⋮ Generalized Drazin invertibility of operator matrices ⋮ Quasi-nilpotent perturbations of the generalized Kato spectrum ⋮ Generalized Kato linear relations ⋮ Symmetric difference between pseudo B-Fredholm spectrum and spectra originated from fredholm theory

Cites Work

• Pseudo-Fredholm operators in Banach spaces
• Generalized Kato decomposition, single-valued extension property and approximate point spectrum
• 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 theory. II. Resolutions of the identity
• Spectral operators
• The Unconditional Basic Sequence Problem
• Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux
• Isolated spectral points
• Continuity of the generalized kernel and range of semi-Fredholm operators
• Operators which have a closed quasi-nilpotent part
• A generalized Drazin inverse
• SEMI-FREDHOLM OPERATORS AND LOCAL SPECTRAL THEORY
• On a Localised Single–Valued Extension Property
• Sur la Theorie Spectrale Locale et Limite des Nilpotents
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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