Asymptotic algebras and applications

Abstract : Starting from a locally convex metrisable topological space and from any asymptotic scale, we construct a generalized extension of this space. To those extensions, we associate Hausdorff topologies. We introduce the notion of a temperate map, with respect to a given asymptotic scale, between two locally convex metrisable semi-normed spaces. We show that such mappings extend in a canonical way to mappings between the respective generalized extensions. We give an application to nonlinear Dirichlet boundary value problems with singular data in the framework of generalized extensions
Type de document :
Article dans une revue
Monatshefte für Mathematik, Springer Verlag, 2000, 129, pp.1-14. 〈https://link.springer.com/journal/605〉
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https://hal.univ-antilles.fr/hal-01529549
Contributeur : Antoine Delcroix <>
Soumis le : mercredi 31 mai 2017 - 04:02:24
Dernière modification le : mercredi 18 juillet 2018 - 20:11:28

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  • HAL Id : hal-01529549, version 1

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Antoine Delcroix, Dimitri Scarpalezos. Asymptotic algebras and applications. Monatshefte für Mathematik, Springer Verlag, 2000, 129, pp.1-14. 〈https://link.springer.com/journal/605〉. 〈hal-01529549〉

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