On a criterion for the invertibility of integral operators of the second kind in the space of summable functions on the semiaxis

DOI10.1134/S0001434614110285zbMath1328.47048OpenAlexW2053780803MaRDI QIDQ2343933

G. A. Grigorian

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614110285

zbMATH Keywords

invertibility conditionscontraction operatorcriterion for the invertibility of integral operatorsintegral operator of second kind

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral operators (47G10)

Cites Work

• Solvability of a class of Wiener-Hopf integral equations
• Wiener-Hopf equation in supercritical case
• Special factorization of a noninvertible Fredholm operator of the second kind
• Setting and solving several factorization problems for integral operators
• Special factorization of a non-invertible integral Fredholm operator of the second kind with Hilbert-Schmidt kernel
• Convolution equation with a completely monotonic kernel on the half-line

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