The Lions's problem for Gustavsson-Peetre functor

• Autores: Mieczyslaw Mastylo, E. I. Bereznoi
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 1, 1990, págs. 175-179
• Idioma: inglés
• Títulos paralelos:
  • Problema de Lions para el functor de Gustavsson-Peetre
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• Resumen

  • 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.