Generalized Kato-Riesz decomposition and generalized Drazin-Riesz invertible operators

DOI10.1080/03081087.2016.1231771OpenAlexW2523203150MaRDI QIDQ2979495

Miloš D. Cvetković, Snežana Č. Živković-Zlatanović

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1231771

zbMATH Keywords

Banach spaceessential spectraRiesz operatorssingle-valued extension propertyKato operatorsapproximate point (surjective) spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53)

Related Items (16)

Weighted pre-orders in a Banach algebra ⋮ A new characterization of Browder’s theorem ⋮ Jacobson's lemma for generalized Drazin-Riesz inverses ⋮ Correction and addendum to: ``On the generalized Drazin-Riesz inverse for closed linear operators ⋮ Generalized Drazin-meromorphic invertible operators and Browder type theorems ⋮ Common properties of \(a\) and \(b\) satisfying \(ab^n = b^{n+1}\) and \(ba^n = a^{n+1}\) in Banach algebras ⋮ Generalized Drazin-meromorphic pseudospectrum for a bounded linear operator on a Banach space ⋮ A note on the generalized Drazin-Riesz invertible operators ⋮ Generalized Drazin-Riesz invertibility for operator matrices ⋮ Unnamed Item ⋮ On Drazin spectral equation for the operator products ⋮ On the generalized Drazin-Riesz inverse for closed linear operators ⋮ Generalized Kato-meromorphic decomposition, generalized Drazin-meromorphic invertible operators and single-valued extension property ⋮ On some classes of saphar type operators ⋮ A note on the common spectral properties for bounded linear operators ⋮ A new characterization of generalized Browder’s theorem and a cline’s formula for generalized Drazin-eromorphic inverses

Cites Work

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• Samuel multiplicity and the structure of essentially semi-regular operators: a note on a paper of Fang
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• Components of generalized Kato resolvent set and single-valued extension property
• Single-valued extension property at the points of the approximate point spectrum.
• On polynomially Riesz operators
• Approximate point spectrum and commuting compact perturbations
• Bishop's Property (β) and the Cesàro Operator
• A generalized Drazin inverse

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