On reiteration and the behaviour of weak compactness under certain interpolation methods

  1. Martínez Abejón, Antonio
  2. Fernández-Martínez, P.
  3. Cobos Díaz, Fernando
Revue:
Collectanea mathematica

ISSN: 0010-0757

Année de publication: 1999

Volumen: 50

Fascículo: 1

Pages: 53-72

Type: Article

D'autres publications dans: Collectanea mathematica

Résumé

This article deals with $K$- and $J$-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.