Resumen de The Lions's problem for Gustavsson-Peetre functor

Mieczyslaw Mastylo , E. I. Bereznoi

• The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.