Ideals of compact operators with the Orlicz norms

DOI10.1007/S10231-011-0225-YzbMath1352.47019OpenAlexW2043766585MaRDI QIDQ1947232

Michael I. Gil'

Publication date: 12 April 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0225-y

zbMATH Keywords

Hilbert spacecompact operatorsregularized determinants

Mathematics Subject Classification ID

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

Related Items (6)

Compact operators under Orlicz function ⋮ Discrete spectra of compactly perturbed bounded operators ⋮ Perturbations of regularized determinants of operators in a Banach space ⋮ Some remarks on upper bounds for Weierstrass primary factors and their application in spectral theory ⋮ Estimating the number of eigenvalues of linear operators on Banach spaces ⋮ Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators

Cites Work

• Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
• Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators
• Intermittency and regularized Fredholm determinants
• Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras
• Determinant formula for the six-vertex model with reflecting end
• Traces and determinants of linear operators
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