A note on analytical representability of mappings inverse to integral operators
classification
🧮 math.FA
keywords
integralinverseanalyticanalyticalarbitrarybairebanachbelong
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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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