Diagonalization modulo norm ideals with Lipschitz estimates

DOI10.1006/jfan.1996.3036zbMath0880.47027OpenAlexW2040030493MaRDI QIDQ1355078

Jingbo Xia

Publication date: 8 February 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3036

zbMATH Keywords

functional calculusLipschitz functionsmultiplication operatorssimultaneous diagonalizationSchatten \(p\)-classfixed ideal normideal of operatorsSchatten-Lorentz classSchatten-Lorentz spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Operator ideals (47L20)

Related Items (9)

Best approximations in a class of Lorentz ideals ⋮ DIAGONALIZATION MODULO NORM IDEALS AND HAUSDORFF DIMENSIONALITY ⋮ Diagonalization modulo a class of Orlicz ideals ⋮ Quasicentral modulus and self-similar sets: a supplementary result to Voiculescu's work ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ A condition for diagonalization modulo arbitrary norm ideals ⋮ Diagonalization and unitary equivalence modulo Schatten \(p\)-classes ⋮ Singular integral operators and norm ideals satisfying a quantitative variant of Kuroda's condition ⋮ Perturbation of orthonormal bases with an application to diagonalization.

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
• Commutators, symbols, and determining functions
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Extensions of \(C^*\)-algebras and \(K\)-homology
• 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
• C*-Algebra Extensions and K-Homology. (AM-95)
• Voiculescu theorem, Sobolev lemma, and extensions of smooth algebras
• Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• An Extension of the Weyl-Von Neumann Theorem to Normal Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Diagonalization modulo norm ideals with Lipschitz estimates