Abstract
We establish some necessary and sufficient conditions for an operator in the space of square summable functions to be representable as a sum of multiplication by a bounded function and an integral operator.
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References
Halmos P. R. and Sunder V. S., Bounded Integral Operators on L 2 Spaces [Russian translation], Nauka, Moscow (1985).
Bukhvalov A. V., “Applications of the methods of the theory of order bounded operators to the theory of operators in the Lpspaces,” Uspekhi Mat. Nauk, 38, No. 6, 37–83 (1983).
Nikishin E. M., “Resonance theorems and sublinear operators,” Uspekhi Mat. Nauk, 25, No. 6, 129–191 (1970).
Korotkov V. B., Integral Operators [in Russian], Nauka, Novosibirsk (1983).
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Korotkov, V.B. On the Integral Operators of the Third Kind. Siberian Mathematical Journal 44, 829–832 (2003). https://doi.org/10.1023/A:1025988803932
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DOI: https://doi.org/10.1023/A:1025988803932