DIAGONALIZATION MODULO NORM IDEALS AND HAUSDORFF DIMENSIONALITY

DOI10.1142/S0129167X00000520zbMath0973.47051OpenAlexW1973968662MaRDI QIDQ4529125

Jingbo Xia

Publication date: 11 February 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x00000520

zbMATH Keywords

decompositionself-adjoint operatortrace classHausdorff dimensionsnorm idealWeyl-von Neumann theoremKato-Rosenblum theoremKuroda's versionmultiplication operators on compact metric spacesself-adjoint diagonal operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear spaces of operators (47L05) Operator ideals (47L20)

Cites Work

• Perturbation of the continuous spectrum and unitary equivalence
• s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions
• Perturbation theory for commutative m-tuples of self-adjoint operators
• Diagonalization modulo norm ideals with Lipschitz estimates
• On the existence of quasicentral approximate units relative to normed ideals. I
• On a theorem of Weyl-von Neumann
• Perturbation of continuous spectra by Trace class operators
• Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators

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