Spectral properties of the operators \(AB\) and \(BA\)

DOI10.1134/S0001434618010212zbMath1456.47001OpenAlexW2792015343WikidataQ130123927 ScholiaQ130123927MaRDI QIDQ1646359

D. B. Didenko

Publication date: 25 June 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618010212

zbMATH Keywords

spectrumFredholm propertyprojection operatorlinear bounded operatorreversibility statessimultaneous nonquasianalyticity

Mathematics Subject Classification ID

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

Related Items

Further common spectral properties of bounded linear operators $AC$ and $BD$, Spectral analysis of operator polynomials and second-order differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New results on common properties of bounded linear operators \(RS\) and \(SR\)
• On the spectral properties of differential operators with unbounded operator coefficients determined by a linear relation
• Common properties of operators \(RS\) and \(SR\) and \(p\)-hyponormal operators
• Harmonic analysis of some classes of linear operators on a real Banach space
• Linear difference and differential operators with unbounded operator coefficients in weight spaces
• On representations with a separable spectrum
• Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions
• Spectral analysis of differential operators with unbounded periodic coefficients
• ALGEBRAIC ASPECTS OF SPECTRAL THEORY
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• On invertibility states of differential and difference operators
• Spectral analysis of linear relations and degenerate operator semigroups
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• Difference operators and operator-valued matrices of the second order
• On operators with a separable spectrum
• Spectral pictures of 𝐴𝐵 and 𝐵𝐴