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

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

ISSN: 0010-0757

Year of publication: 1999

Volume: 50

Fascicle: 1

Pages: 53-72

Type: Article

More publications in: Collectanea mathematica

Abstract

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.