Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory

DOI10.1016/J.JMAA.2014.01.021zbMath1308.47002OpenAlexW2158374764MaRDI QIDQ2338778

Huai Jie Zhong, QingPing Zeng

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.01.021

zbMATH Keywords

operator equationcommon propertyJacobson's lemmalocal spectral theory

Mathematics Subject Classification ID

Spectrum, resolvent (47A10)

Related Items (17)

Cline’s formula for g-Drazin inverses in a ring ⋮ LOCAL SPECTRAL THEORY II ⋮ Common properties of the operator products in local spectral theory ⋮ On gs-Drazin inverses in a ring ⋮ The local spectrum, property \((\beta)\) and decomposability of operator matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ New extensions of Jacobson's lemma and Cline's formula ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Common Spectral Properties of Bounded Right Linear Operators AC and BA in the Quaternionic Setting ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Unnamed Item ⋮ Further results on common properties of the products ac and bd ⋮ Generalized Cline’s formula and common spectral property ⋮ 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 \(BA\) ⋮ Generalized Hirano inverses in Banach algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New results on common properties of bounded linear operators \(RS\) and \(SR\)
• On the Dunford property \((C)\) for bounded linear operators \(RS\) and \(SR\)
• Common properties of operators \(RS\) and \(SR\) and \(p\)-hyponormal operators
• w-hyponormal operators are subscalar
• Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory
• Local spectral theory of linear operators RS and SR
• Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Extensions of Jacobson's Lemma
• Spectral theory of linear operators and spectral systems in Banach algebras

This page was built for publication: Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory