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.
@article{urn:eudml:doc:41122,
title = {The Lions's problem for Gustavsson-Peetre functor.},
journal = {Publicacions Matem\`atiques},
volume = {34},
year = {1990},
pages = {175-179},
zbl = {0716.46057},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41122}
}
Bereznoi, E.I.; Mastylo, Mieczyslaw. The Lions's problem for Gustavsson-Peetre functor.. Publicacions Matemàtiques, Tome 34 (1990) pp. 175-179. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41122/