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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.

MSC:

45P05 Integral operators
47B07 Linear operators defined by compactness properties
47G10 Integral operators
47B38 Linear operators on function spaces (general)
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