The non-archimedean space 𝒞 ( X )

N. de Grande-de Kimpe

Compositio Mathematica (1983)

  • Volume: 48, Issue: 3, page 297-309
  • ISSN: 0010-437X

How to cite


de Grande-de Kimpe, N.. "The non-archimedean space $\mathcal {C}^\infty (X)$." Compositio Mathematica 48.3 (1983): 297-309. <>.

author = {de Grande-de Kimpe, N.},
journal = {Compositio Mathematica},
keywords = {non-Archimedean space of infinitely differentiable functions; nuclear; compactoid subsets},
language = {eng},
number = {3},
pages = {297-309},
publisher = {Martinus Nijhoff Publishers},
title = {The non-archimedean space $\mathcal \{C\}^\infty (X)$},
url = {},
volume = {48},
year = {1983},

AU - de Grande-de Kimpe, N.
TI - The non-archimedean space $\mathcal {C}^\infty (X)$
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 3
SP - 297
EP - 309
LA - eng
KW - non-Archimedean space of infinitely differentiable functions; nuclear; compactoid subsets
UR -
ER -


  1. [1] N. de Grande-de Kimpe: On spaces of operators between locally K-convex spaces. Proc. Kon. Ned. Akad. van Wet.A75 (1972) 113-129. Zbl0235.46013MR303351
  2. [2] N. de Grande-de Kimpe: Structure theorems for locally K-convex spaces. Proc. Kon. Ned. Akad. v. Wet.A80 (1977) 11-22. Zbl0343.46005MR430720
  3. [3] N. de Grande-de Kimpe: Non-archimedean Frechet spaces, generalizing spaces of analytic functions. To appear in Proc. Kon. Ned. Akad. v. Wet (1982). Zbl0509.46062MR683530
  4. [4] W.H. Schikhof: Non-archimedean CalculusMath. Inst. Katholieke UniversiteitNijmegen, Report n° 7812 (1978). Zbl0463.26007MR522166
  5. [5] W.H. Schikhof: Ultrametric Calculus, Cambridge University Press (to appear). Zbl0553.26006MR791759
  6. [6] A.C.M. Van Rooij: Non-archimedean functional analysis. Marcel Dekker, New York (1978). Zbl0396.46061MR512894

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