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

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

ISSN: 0010-0757

Ano de publicación: 1999

Volume: 50

Fascículo: 1

Páxinas: 53-72

Tipo: Artigo

Outras publicacións en: Collectanea mathematica

Resumo

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.