Siberian Mathematical Journal

, Volume 44, Issue 5, pp 829–832 | Cite as

On the Integral Operators of the Third Kind

  • V. B. Korotkov


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.

multiplication by a function integral operator kernel of an integral operator integral operator of the third kind 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • V. B. Korotkov
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirsk

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