On the Dunford property \((C)\) for bounded linear operators \(RS\) and \(SR\)

DOI10.1007/S00020-011-1875-2zbMath1230.47006OpenAlexW2002308580MaRDI QIDQ645117

Pietro Aiena, González, Manuel

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1875-2

zbMATH Keywords

SVEPDunford's property \((C)\)global spectral subspaces

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Related Items (15)

Further common spectral properties of bounded linear operators $AC$ and $BD$ ⋮ Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras ⋮ New results on common properties of bounded linear operators \(RS\) and \(SR\) ⋮ Common properties of the operator products in local spectral theory ⋮ The generalized inverses of the products of two elements in a ring ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Common properties of bounded linear operators AC and BA: Spectral theory ⋮ Common Spectral Properties of Bounded Right Linear Operators AC and BA in the Quaternionic Setting ⋮ Generalized Jacobson's lemma for Drazin inverses and its applications ⋮ On Drazin spectral equation for the operator products ⋮ Unnamed Item ⋮ Property (\(t\)) and perturbations ⋮ Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory ⋮ Back to the common spectral properties of operators satisfying AkBkAk = Ak+1 and BkAkBk = Bk+1 ⋮ New results on common properties of the products \(AC\) and \(BA\)

Cites Work

• Unnamed Item
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• Common properties of operators \(RS\) and \(SR\) and \(p\)-hyponormal operators
• Local spectral theory of linear operators RS and SR
• On the operator equations ABA = A2 and BAB = B2
• The Spectral and Fredholm Theory of Extensions of Bounded Linear Operators
• Operators which have a closed quasi-nilpotent part
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Common spectral properties of linear operators a and b such that ABA=A² and BAB=B²

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