V. B. Korotkov, “On the integral operators of the third kind”, Sibirsk. Mat. Zh., 2003, Volume 44, Number 5,Pages <nobr>1063

This article is cited in 4 papers

On the integral operators of the third kind

V. B. Korotkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

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.

Keywords: multiplication by a function, integral operator, kernel of an integral operator, integral operator of the third kind.

UDC: 517.983

Received: 27.09.2002
Revised: 25.06.2003