On the topology of compactoid convergence in non-Archimedean spaces

A.K. Katsaras; A. Beloyiannis

Annales mathématiques Blaise Pascal (1996)

  • Volume: 3, Issue: 2, page 135-153
  • ISSN: 1259-1734

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Katsaras, A.K., and Beloyiannis, A.. "On the topology of compactoid convergence in non-Archimedean spaces." Annales mathématiques Blaise Pascal 3.2 (1996): 135-153. <http://eudml.org/doc/79159>.

@article{Katsaras1996,
author = {Katsaras, A.K., Beloyiannis, A.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {compactoid set; -product; polar space; nuclear operator},
language = {eng},
number = {2},
pages = {135-153},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {On the topology of compactoid convergence in non-Archimedean spaces},
url = {http://eudml.org/doc/79159},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Katsaras, A.K.
AU - Beloyiannis, A.
TI - On the topology of compactoid convergence in non-Archimedean spaces
JO - Annales mathématiques Blaise Pascal
PY - 1996
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 3
IS - 2
SP - 135
EP - 153
LA - eng
KW - compactoid set; -product; polar space; nuclear operator
UR - http://eudml.org/doc/79159
ER -

References

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  1. [1] N. De Grande-De Kimpe, The bidual of a non-Archimedean locally convex space, Proc. Kon. Ned. Akad. Wet., A92 (2) (1989) 203-312. Zbl0693.46071MR1005052
  2. [2] N. De Grande-De Kimpeand J. Martinez-Maurica, Compact like operators between non-Archimedean normed spaces, Proc. Kon. Ned. Akad. Wet., A85 (1982), 423-429. Zbl0708.47036
  3. [3] J. Horvath, Topological Vector Spaces and Distributions, Addison-Wesley, Reading, Massachusets. Palo Alto-London. Don mills. Ontario, 1966. Zbl0143.15101MR205028
  4. [4] A.K. Katsaras, Spaces of non-Archimedean valued functions, Bolletino U.M.I (6) 5-B (1986), 603-621. Zbl0611.46074MR860645
  5. [5] A.K. Katsaras, The non-Archimedean Grothendieck's completeness Theorem, Bull. Inst. of Math. Acad. Sinica, vol. 19, no 1 (1991), 351-354. Zbl0780.46043MR1157888
  6. [6] A.K. Katsaras and A. Beloyiannis, Non-Archimedean weighted spaces of continuous functions, Rendiconti di Matematica, Ser. VII. vol. 16, Roma(1996) (to appear). Zbl0911.46049MR1451076
  7. [7] A.K. Katsaras and A. Beloyiannis, On non-Archimedean weighted spaces of continuous functions, Proc. Fourth Conf. on p-adic Analysis (Nijmegen, The Netherlands), Marcel Dekker (to appear). Zbl0947.46057MR1459213
  8. [8] A.K. Katsaras, C. Petalas and T. Vidalis, Non-Archimedean sequential spaces and the finest locally convex topology with the same compactoid sets, Acta Math. Univ. Comenianae, vol. LXIII, 1 (1994), 55-75. Zbl0826.46073MR1342595
  9. [9] C. Pérez-Garcia, "The Hahn-Banach extension Theorem in p-adic Analysis ", in: p-adic Functional Analysis, Marcel Dekker, New York. Bassel. Hong Kong (1992), 127-140. Zbl0776.46036MR1152574
  10. [10] W.H. Schikhof, Locally convex spaces over nonspherically complete valued fields I, IIBull. Soc. Math. Belg. Sr. B38( (1986). 187-224. Zbl0615.46071MR871313
  11. [11] W.H. Schikhof, The continuous linear image of a p-adic compactoid Proc. Kon. Ned. Akad. Wet. A92 (1989), 119-123. Zbl0696.46053MR993683
  12. [12] W.H. Schikhof, "The p-adic Krein-Šmulian Theorem ", in: p-adic Functional Analysis, Marcel Dekker, New York. Basel. Hong Kong (1992), 177-189. Zbl0781.46053MR1152578
  13. [13] W.H. Schikhof, A perfect duality between p-adic Banach spaces and compactoids, Indag. Math. N.S., 6(3) (1995), 325-339. Zbl0837.46062MR1351151

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