On the nuclearity of integral operators
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Publication:839543
DOI10.1007/s11117-008-2240-9zbMath1172.45004OpenAlexW2061849531MaRDI QIDQ839543
Claudemir P. Oliveira, José Claudinei Ferreira, Valdir A. Menegatto
Publication date: 2 September 2009
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-008-2240-9
Integral operators (45P05) Kernel operators (47B34) Integral equations with miscellaneous special kernels (45H05)
Related Items (16)
The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator ⋮ Traceability of positive integral operators ⋮ Reproducing properties of differentiable Mercer-like kernels ⋮ Eigenvalue decay rates for positive integral operators ⋮ An extension of Mercer's theory to \(L^p\) ⋮ Nuclearity for power series kernels in higher dimensions ⋮ An extension of Mercer's theorem via Pontryagin spaces ⋮ Traceability of positive integral operators in the absence of a metric ⋮ Nuclearity and trace formulas of integral operators ⋮ Integral operators generated by multi-scale kernels ⋮ Universal kernels which are continuous on the diagonal ⋮ Determinants and Plemelj-Smithies formulas ⋮ A gradient flow formulation for the stochastic Amari neural field model ⋮ Operators with continuous kernels ⋮ On the \(r\)-nuclearity of some integral operators on Lebesgue spaces ⋮ Fundamental Sets of Functions on Locally Compact Abelian Groups
Cites Work
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- Mercer theorem for RKHS on noncompact sets
- Positive integral operators in unbounded domains
- Kernels of Trace Class Operators
- On the characteristic values of linear integral equations
- Integral operators of trace class
- Traces and determinants of linear operators
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