Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators

DOI10.2307/2373898zbMath0362.47007OpenAlexW2333502179MaRDI QIDQ4136066

Joel D. Pincus, Richard W. Carey

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2307/2373898

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) Spectrum, resolvent (47A10)

Related Items (25)

DIAGONALIZATION MODULO NORM IDEALS AND HAUSDORFF DIMENSIONALITY ⋮ Diagonalization modulo norm ideals with Lipschitz estimates ⋮ Diagonalization modulo a class of Orlicz ideals ⋮ Perturbation theory of dense point spectra ⋮ On the stability of dense point spectrum for self-adjoint operators ⋮ Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients ⋮ Diagonality modulo hybrid Lorentz-\((p,1)\) ideals in semifinite factors ⋮ Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients ⋮ On a theorem of Carey and Pincus ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ The Cayley transform applied to non-interacting quantum transport ⋮ Stability of a singular continuous spectrum of Sturm-Liouville operators ⋮ Contraction operators and principal currents ⋮ Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem ⋮ A condition for diagonalization modulo arbitrary norm ideals ⋮ Finite Rank Perturbations of Singular Spectra ⋮ Invariant subspaces of operator algebras ⋮ Trace Class Perturbations of Isometries and Unitary Dilations ⋮ Rank-one perturbations and Anderson-type Hamiltonians ⋮ Nonnegative perturbations of selfadjoint operators ⋮ Diagonalization and unitary equivalence modulo Schatten \(p\)-classes ⋮ Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions ⋮ Cartesian and polar decompositions of hyponormal operators ⋮ One-dimensional perturbations of the shift ⋮ Perturbation by trace class operators

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