On matching distance between eigenvalues of unbounded operators

DOI10.33205/cma.1060718zbMath1497.47009OpenAlexW4221001441MaRDI QIDQ5078983

Micheal Gil

Publication date: 25 May 2022

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.1060718

zbMATH Keywords

Banach spacedifferential operatortensor product of Hilbert spacesmatching distanceperturbations of eigenvalues

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (3)

On the some spectral domains in the spectrum preserves ⋮ An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components ⋮ Variations of real and imaginary parts of eigenvalues of compact operators under perturbations

Cites Work

• Spectral approximations of unbounded operators of the type ``normal plus compact
• Completeness of rank one perturbations of normal operators with lacunary spectrum
• Norm estimates for resolvents of linear operators in a Banach space and spectral variations
• Spectral approximations of unbounded nonselfadjoint operators
• On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation
• Some perturbation results through localized SVEP
• THE DISCRETENESS OF SPECTRUM FOR HIGHER-ORDER DIFFERENTIAL OPERATORS IN WEIGHTED FUNCTION SPACES
• Demicompact linear operators, essential spectrum and some perturbation results
• Perturbation Theory for Linear Operators
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Operator Functions and Operator Equations
• Spectrum of a linear fourth‐order differential operator and its applications
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