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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Research partially supported by Ministerio de Educación y Ciencia, MTM2006-14786.
Authors’ addresses: N. De Grande-De Kimpe, Groene Laan 36 (302) B 2830, Willebroek, Belgium; C. Perez-Garcia, Department of Mathematics, Facultad de Ciencias, Universidad de Cantabria, Avda. de los Castros s/n, 39071 Santander, Spain
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De Grande-De Kimpe, N., Perez-Garcia, C. A counterexample on non-archimedean regularity. Monatsh Math 153, 105–113 (2008). https://doi.org/10.1007/s00605-007-0487-z
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DOI: https://doi.org/10.1007/s00605-007-0487-z