Korotkov, V. B. On the integral operators of the third kind. (Russian, English) Zbl 1032.45018 Sib. Mat. Zh. 44, No. 5, 1063-1066 (2003); translation in Sib. Math. J. 44, No. 5, 829-832 (2003). Summary: 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. Cited in 2 Documents MSC: 45P05 Integral operators 47B07 Linear operators defined by compactness properties 47G10 Integral operators 47B38 Linear operators on function spaces (general) Keywords:multiplication by a function; kernel of an integral operator; measurable set PDF BibTeX XML Cite \textit{V. B. Korotkov}, Sib. Mat. Zh. 44, No. 5, 1063--1066 (2003; Zbl 1032.45018); translation in Sib. Math. J. 44, No. 5, 829--832 (2003) Full Text: EuDML EMIS OpenURL