PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 54(68), pp. 55--57 (1993)
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PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 54(68), pp. 55--57 (1993) |
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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
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