Abstract
We now present the basic theory for an operator equation
of the second kind with a compact linear operator A: X → X on a normed space X.
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References
Fredholm, I.: Sur une classe d’équations fonctionelles. Acta Math. 27, 365–390 (1903).
Riesz, F.: Über lineare Funktionalgleichungen. Acta Math. 41, 71–98 (1918).
Volterra, V.: Sulla inversione degli integrale definiti. Rom. Acc. Linc. Rend. 5, 177–185 (1896).
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Kress, R. (2014). Riesz Theory. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9593-2_3
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DOI: https://doi.org/10.1007/978-1-4614-9593-2_3
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