Eigenvalue decay rates for positive integral operators

DOI10.1007/S10231-012-0256-ZzbMath1296.45001OpenAlexW2092798400MaRDI QIDQ383819

Valdir A. Menegatto, José Claudinei Ferreira

Publication date: 6 December 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/s10231-012-0256-z

zbMATH Keywords

positive definitenessHilbert-Schmidt operatorsSchatten classMercer's theoremeigenvalue decay ratespositive definite integral operatorseries of singular valuesseries representation in terms of eigenfunctions

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

On reproducing kernel and density problems ⋮ Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques ⋮ Delay-coordinate maps and the spectra of Koopman operators

Cites Work

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• On eigenvalues of differentiable positive definite kernels
• Eigenvalue distribution of compact operators
• Positive integral operators in unbounded domains
• Eigenvalues of Positive Definite Kernels
• Eigenvalue distribution of Mercer‐like kernels
• Traces and determinants of linear operators

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