arXiv Analytics

Sign in

arXiv:math/9303205 [math.FA]AbstractReferencesReviewsResources

A note on analytical representability of mappings inverse to integral operators

Mikhail I. Ostrovskii

Published 1993-03-29Version 1

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.

Journal: Matematicheskaya Fizika, Analiz i Geometriya, 1 (1994), no. 3/4, 513-519
Categories: math.FA
Related articles: Most relevant | Search more
arXiv:1006.0962 [math.FA] (Published 2010-06-04, updated 2011-10-20)
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions
arXiv:0808.2528 [math.FA] (Published 2008-08-19, updated 2009-10-14)
On Integral Operators with Operator Valued Kernels
arXiv:math/0504071 [math.FA] (Published 2005-04-05)
Reproducing kernel Hilbert spaces and Mercer theorem

Links

Toolbox