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

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

ISSN: 0010-0757

Datum der Publikation: 1999

Ausgabe: 50

Faszikel: 1

Seiten: 53-72

Art: Artikel

Andere Publikationen in: Collectanea mathematica

Zusammenfassung

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.