A note on analytical representability of mappings inverse to integral operators

Details A note on analytical representability of mappings inverse to integral operators A note on analytical representability of mappings inverse to integral operators

1993-03-29

arxiv.org/abs/math/9303205v1

Matematicheskaya Fizika, Analiz i Geometriya, 1 (1994), no. 3/4, 513-519

Mathematics

Functional Analysis

Scientific paper

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

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