A commutator approach to absolute continuity for unbounded Jacobi operators

DOI10.1016/J.JMAA.2010.11.062zbMath1218.47048OpenAlexW2069195756MaRDI QIDQ631842

Joanne Dombrowski

Publication date: 14 March 2011

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.2010.11.062

zbMATH Keywords

Jacobi operatorsabsolute continuitycommutator equations

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• Spectral gaps resulting from periodic perturbations of a class of Jacobi operators
• Spectral analysis of second order difference equations
• Absolute continuity for unbounded Jacobi matrices with constant row sums
• Spectral properties of some Jacobi matrices with double weights.
• Spectral theory of certain unbounded Jacobi matrices
• Absolutely continuous Jacobi operators
• Spectral transition parameters for a class of Jacobi matrices
• Cyclic Operators, Commutators, and Absolutely Continuous Measures

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