Inequalities for imaginary parts of eigenvalues of Schatten-von Neumann operators

DOI10.1007/s12215-023-00950-zMaRDI QIDQ6124463

Michael I. Gil'

Publication date: 27 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceperturbationscompact operatorslocalization 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)

Cites Work

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• Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators
• Triangular form for bounded linear operators
• Variation of discrete spectra
• Schatten-von Neumann classes of integral operators
• Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces
• The Schatten-von Neumann class associated with the Gabor-Riemann-Liouville operator
• Schatten classes of Volterra operators on Bergman-type spaces in the unit ball
• Contact points and Schatten class of composition operators
• Sums of real parts of eigenvalues of perturbed matrices
• Schatten-von Neumann characteristic of tensor product operators
• Lorentz-Schatten classes of direct sum of operators
• Operator Functions and Operator Equations
• Variations of real and imaginary parts of eigenvalues of compact operators under perturbations

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