A counterexample on non-archimedean regularity |
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Authors: | N. De Grande-De Kimpe and C. Perez-Garcia |
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Abstract: | 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. |
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