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Summability of singular values of \(L_2\) kernels. Analogies with Fourier series

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Publication:1224744
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zbMath0324.45010MaRDI QIDQ1224744

James Alan Cochran

Publication date: 1976

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)



Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Asymptotics of solutions to integral equations (45M05) Integral equations with miscellaneous special kernels (45H05)


Related Items (7)

An operator ideal in connection with Gaussian measures and applications to nuclearity of integral operator ⋮ Asymptotics of singular numbers of smooth kernels via trigonometric transforms ⋮ Estimation of the best linear approximations for the classes \(B_{\mathrm{p},\theta}^{\mathrm{r}}\) and singular numbers of the integral operators ⋮ Towards a Wiener-Levy theorem for nuclear operators ⋮ A Wiener-Levy theorem for nuclear integral operators ⋮ Composite integral operators and nuclearity ⋮ Square-integrable kernels and growth estimates for their singular values







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