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A counterexample on non-archimedean regularity

par De Grande-Dekimpe, Nicole ;Perez-Garcia, Cristina
Référence Monatshefte fÉur Mathematik, 153, 2, page (105-113)
Publication Publié, 2008-02

Article révisé par les pairs

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Résumé :

A non-regular inductive sequence of non-archimedean reflexive Fréchet spaces is constructed. On the other hand, it is proved that every inductive sequence of reflexive Banach spaces over a spherically complete field is regular. Also, some applications are given. © 2007 Springer-Verlag.