Locally convex spaces over nonspherically complete valued fields

Wim H. Schikhof

Groupe de travail d'analyse ultramétrique (1984-1985)

  • Volume: 12, Issue: 2, page 1-33

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Schikhof, Wim H.. "Locally convex spaces over nonspherically complete valued fields." Groupe de travail d'analyse ultramétrique 12.2 (1984-1985): 1-33. <http://eudml.org/doc/91946>.

@article{Schikhof1984-1985,
author = {Schikhof, Wim H.},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {nonspherically complete value fields; nonarchimedean valued fields; polar space; polar seminorms; strongly polar; duality theory; Mackey's theorem; reflexivity; Montel space; nuclearity; Fréchet space of countable type},
language = {eng},
number = {2},
pages = {1-33},
publisher = {Secrétariat mathématique},
title = {Locally convex spaces over nonspherically complete valued fields},
url = {http://eudml.org/doc/91946},
volume = {12},
year = {1984-1985},
}

TY - JOUR
AU - Schikhof, Wim H.
TI - Locally convex spaces over nonspherically complete valued fields
JO - Groupe de travail d'analyse ultramétrique
PY - 1984-1985
PB - Secrétariat mathématique
VL - 12
IS - 2
SP - 1
EP - 33
LA - eng
KW - nonspherically complete value fields; nonarchimedean valued fields; polar space; polar seminorms; strongly polar; duality theory; Mackey's theorem; reflexivity; Montel space; nuclearity; Fréchet space of countable type
UR - http://eudml.org/doc/91946
ER -

References

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  2. [2] De Grande - De Kimpe ( N.). - Perfect locally K-convex sequence spaces. Indag. Math., t. 33, 1971, p. 471-482. Zbl0228.46007MR308735
  3. [3] De Grande - De Kimpe ( N.). - On spaces of operators between locally K-convex spaces, Indag. Math., t. 34, 1972, p. 113-129. Zbl0235.46013MR303351
  4. [4] De Grande - De Kimpe ( N.). - Structure theorems for locally K-convex spaces, Indag. Math., t. 39, 1977, p. 11-22. Zbl0343.46005MR430720
  5. [5] De Grande - De Kimpe ( N.). - Non-archimedean Fréchet spaces generalizing spaces of analytic functions, Indag. Math., t. 44, 1982, p. 423-439. Zbl0509.46062MR683530
  6. [6] De Grande - De Kimpe ( N.). - The non-archimedean space C∞(X) , Comp. Math. Groningen, t. 48, 1983, p. 297-309. Zbl0509.46063
  7. [7] De Grande - De Kimpe ( N.). - Projective locally K-convex spaces, Indag. Math., t. 46, 1984, p. 247-254. Zbl0563.46045MR763462
  8. [8] Katsaras ( A.K.). - On compact operators between non-archimedean spaces, Ann. Soc. scient. Bruxelles, série 1, t. 96, 1982, p. 129-137. Zbl0508.46052MR695359
  9. [9] Rooij ( A. C. M. van). - Notes on p-adic Banach spaces. Report 7633, Mathematisch Instituut, Katholieke Universiteit, Nijmegen, 1976, p. 1-62. 
  10. [10] Rooij ( A. C. M. van). - Notes on p-adic Banach spaces. Report 7725, Mathematisch Instituut, Katholieke Universiteit, Nijmegen, 1977, p. 1-51. 
  11. [11] Rooij ( A. C. M. van) . - Non-archimedean functional analysis. - New York, Basel, M. Dekker, 1978 (Pure and applied Mathematics. Dekker, 51). Zbl0396.46061MR512894
  12. [12] Schikhof ( W.H.). - Non-archimedean calculus. Report 7812, Mathematisch Instituut, Katholieke Universiteit, Nijmegen, 1978, p. 1-129. Zbl0463.26007MR522166
  13. [13] Schikhof ( W.H.). - Ultrametric calculus. - Cambridge, University Press, 1984. Zbl0553.26006MR791759
  14. [14] Tiel ( J. van) . - Espaces localement K-convexes, I-III, Indag. Math., t. 27, 1965, p. 249-258 ; p. 259-272 ; p. 273-289. Zbl0133.06502MR179593
  15. [15] Tiel ( J. van) . - Ensembles pseudo-polaires dans les espaces localement K-convexes, Indag. Math., t. 28, 1966, p. 369-373. Zbl0137.09501MR198198
  16. [16] Trèves ( F.). - Topological vector spaces, distributions and kernels. - New York, London, Academic Press, 1967 (Pure and applied Mathematics. Academic Press, 25 ). Zbl0171.10402MR225131

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