Geodesic
Non-Archimedean t-Frames and FM-Spaces
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 475-483

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DOI

We generalize the notion of t-orthogonality in p-adic Banach spaces by introducing t-frames (§2). This we use to prove that a Fréchet-Montel (FM-)space is of countable type (Theorem 3.1), the non-archimedeancounterpart of a well known theorem in functional analysis over R or C ([6], p. 231). We obtain several characterizations of FM-spaces (Theorem 3.3) and characterize the nuclear spaces among them (§4).
DOI : 10.4153/CMB-1992-062-4
Mots-clés : 46S10 
Kimpe, N. De Grande-De; Perez-Garcia, C.; Schikhof, W. H. Non-Archimedean t-Frames and FM-Spaces. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 475-483. doi: 10.4153/CMB-1992-062-4
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     title = {Non-Archimedean {t-Frames} and {FM-Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {475--483},
     year = {1992},
     volume = {35},
     number = {4},
     doi = {10.4153/CMB-1992-062-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-062-4/}
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