Nuclearity and trace formulas of integral operators

DOI10.1215/20088752-2017-0064zbMath1440.42077OpenAlexW2802409190WikidataQ129883685 ScholiaQ129883685MaRDI QIDQ1757792

Suélen Almeida Carvalho, José Claudinei Ferreira

Publication date: 15 January 2019

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1525420816

zbMATH Keywords

trace formulaintegral operatorstrace class

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Integral operators (47G10) Kernel operators (47B34) Integral equations with miscellaneous special kernels (45H05)

Cites Work

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• Traceability of positive integral operators
• Traceability of positive integral operators in the absence of a metric
• Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinity
• Traceable integral kernels on countably generated measure spaces
• On the nuclearity of integral operators
• Infinite-dimensional log-determinant divergences between positive definite trace class operators
• Positive definiteness, reproducing kernel Hilbert spaces and beyond
• Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary
• On the numerical evaluation of Fredholm determinants
• p ‐nuclear operators in the sense of Grothendieck

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