English

A note on analytical representability of mappings inverse to integral operators

Functional Analysis 2010-09-07 v1

Abstract

The condition onto pair (F,GF,G) of function Banach spaces under which there exists a integral operator T:FGT:F\to G with analytic kernel such that the inverse mapping T1:T^{-1}:imTFT\to F does not belong to arbitrary a priori given Borel (or Baire) class is found.

Keywords

Cite

@article{arxiv.math/9303205,
  title  = {A note on analytical representability of mappings inverse to integral operators},
  author = {Mikhail I. Ostrovskii},
  journal= {arXiv preprint arXiv:math/9303205},
  year   = {2010}
}
R2 v1 2026-07-22T17:54:15.215Z