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A note on analytical representability of mappings inverse to integral operators

Mikhail I. Ostrovskii

math.FAarXiv:math/9303205

Abstract

The condition onto pair (F,G) of function Banach spaces under which there exists a integral operator T:F G with analytic kernel such that the inverse mapping T-1:imT F does not belong to arbitrary a priori given Borel (or Baire) class is found.

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