Common properties of bounded linear operators AC and BA: Spectral theory

DOI10.1002/MANA.201300123OpenAlexW3122019306MaRDI QIDQ5417586

Huai Jie Zhong, QingPing Zeng

Publication date: 21 May 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5818

zbMATH Keywords

regularityoperator equationcommon propertyJacobson's lemma

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (10)

Jacobson's lemma for generalized Drazin-Riesz inverses ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Common Spectral Properties of Bounded Right Linear Operators AC and BA in the Quaternionic Setting ⋮ Common spectral properties of linear operators A and B satisfying AkBkAk = Ak+1 and BkAkBk = Bk+1 ⋮ Unnamed Item ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ On Drazin spectral equation for the operator products ⋮ Further results on common properties of the products ac and bd ⋮ New results on common properties of the products \(AC\) and \(BA\) ⋮ A note on the common spectral properties for bounded linear operators

Cites Work

• 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
• Uniform ascent and descent of bounded operators
• Local spectral theory of linear operators RS and SR
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Restriction of an operator to the range of its powers
• On the axiomatic theory of spectrum II
• Extensions of Jacobson's Lemma

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