Common spectral properties of linear operators a and b such that ABA=A² and BAB=B²

DOI10.2298/PIM0693109SzbMath1122.47004MaRDI QIDQ5424698

Christoph Schmoeger

Publication date: 5 November 2007

Published in: Publications de l'Institut Mathematique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128072

zbMATH Keywords

continuous spectrumpoint spectrumresidual spectrumapproximate point spectrumFredholm spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Equations involving linear operators, with operator unknowns (47A62)

Related Items (10)

Further common spectral properties of bounded linear operators $AC$ and $BD$ ⋮ Operator equations and subscalarity ⋮ On subscalarity of some \(2 \times 2\) class \(A\) operator matrices ⋮ On the Dunford property \((C)\) for bounded linear operators \(RS\) and \(SR\) ⋮ Generalized Jacobson’s Lemma in a Banach algebra ⋮ Extensions of Jacobson's Lemma ⋮ Common spectral properties of linear operators A and B satisfying AkBkAk = Ak+1 and BkAkBk = Bk+1 ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Unnamed Item ⋮ A note on the common spectral properties for bounded linear operators

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