An extension of Mercer's theorem via Pontryagin spaces

DOI10.1007/S00020-012-2008-2zbMath1290.47047OpenAlexW2034103335MaRDI QIDQ1946560

Valdir A. Menegatto, Claudemir P. Oliveira

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2008-2

zbMATH Keywords

integral operatorspositive operatorsspectral theoremMercer's theoremPontryagin spacesKreǐn spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral operators (47G10) Linear operators on spaces with an indefinite metric (47B50) Integral equations with miscellaneous special kernels (45H05)

Cites Work

• Eigenvalues of integral operators defined by smooth positive definite kernels
• On the nuclearity of integral operators
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