The perturbation classes problem for generalized Drazin invertible operators. I

DOI10.1007/s12215-017-0302-1zbMath1466.47002OpenAlexW2904668803MaRDI QIDQ1743860

Djalel Ounadjela, Bekkai Messirdi, Kouider Miloud Hocine

Publication date: 16 April 2018

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/s12215-017-0302-1

zbMATH Keywords

finite spectrumcompact perturbationgeneralized Drazin invertible operatorsleft and right generalized Drazin invertible operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Some results about spectral continuity and compact perturbations ⋮ Further results on left and right generalized Drazin invertible operators ⋮ Generalized Drazin Inverse and Commuting Riesz Perturbations ⋮ The perturbation classes problem for generalized Drazin invertible operators. II

Cites Work

• Unnamed Item
• Ruston, Riesz and perturbation classes
• Triangularizability of polynomially compact operators
• Polynomially Riesz perturbations
• Drazin spectra of Banach space operators and Banach algebra elements
• An extension of a result of Djordjević and its applications
• CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS
• Semi-Browder operators and perturbations
• A generalized Drazin inverse
• Left and right generalized Drazin invertible operators
• On Perturbations of Essential Spectra
• Ascent, Descent, and Commuting Perturbations

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