PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 54(68), pp. 5557 (1993) 

Iteration of ultraproducts of locally convex spacesJosé Antonio Facenda AguirreFacultad de Matemáticas, Dpto. de Análisis Matemático, Apdo. de Correos 1160, 41080 Sevilla, SpainAbstract: Let $\{E_{ij}:(i,j)\in I\times J\}$ be a family of locally convex Hausdorff spaces. We study the relation between the spaces $P_{(i,j)\in I\times J}(E_{ij})$ and $P_{j\in J}(P_{i\in I}(E_{ij}))$. In particular, we prove that the ultraproduct of an ultraproduct is again an ultraproduct. Classification (MSC2000): 46A05; 46Q05 Full text of the article:
Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
