The Dieudonné-Schwartz Theorem for $\mathbf{p}$-adic inductive limits
De Grande-De Kimpe, N. ; Perez-Garcia, C.
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 33-50 / Harvested from Project Euclid
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In this paper we investigate the $p$-adic validity of the classical Dieudonné-Schwartz Theorem proved in [5] and of its main improvements given in the archimedean literature. We show that the situation differs substantially from the real or complex one.
Publié le : 2007-03-14
Classification:  Dieudonné-Schwartz Theorem,  $p$-adic inductive limits.,  46S10 
@article{1172852243,
     author = {De Grande-De Kimpe, N. and Perez-Garcia,  C.},
     title = {The Dieudonn\'e-Schwartz Theorem for $\mathbf{p}$-adic inductive limits},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 33-50},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1172852243}
}

De Grande-De Kimpe, N.; Perez-Garcia,  C. The Dieudonné-Schwartz Theorem for $\mathbf{p}$-adic inductive limits. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  33-50. http://gdmltest.u-ga.fr/item/1172852243/