INEQUALITIES OF THE CARLEMAN TYPE FOR SCHATTEN-VON NEUMANN OPERATORS

DOI10.1142/S1793557108000199zbMath1158.47014OpenAlexW2025026262MaRDI QIDQ3520546

Michael I. Gil'

Publication date: 26 August 2008

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557108000199

zbMATH Keywords

resolventdeterminantinvertibilityspectrum perturbationsinfinite matricesSchatten-von Neumann operatorspositive invertibility

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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) Positive linear operators and order-bounded operators (47B65)

Related Items

An inequality between resolvents and determinants for operators in a Banach space ⋮ Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators ⋮ Perturbations of functions of operators in a Banach space ⋮ Norm estimates for functions of matrices with simple spectrum ⋮ Spectrum perturbations of linear operators in a Banach space

Cites Work

• On multiplicative perturbation of integral resolvent families
• On positive invertibility of matrices
• An alternative to Plemelj-Smithies formulas on infinite determinants
• Linear resolvent growth test for similarity of a weak contraction to a normal operator
• Operator functions and localization of spectra
• B-Weyl spectrum and poles of the resolvent
• Bounds for zeros of entire functions
• On the resolvent and spectral functions of a second order differential operator with a regular singularity
• On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential
• On invertibility and positive invertibility of matrices

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