On isometries and compact operators between p-adic Banach spaces

C. Perez-Garcia

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 217-224
  • ISSN: 1259-1734

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Perez-Garcia, C.. "On isometries and compact operators between p-adic Banach spaces." Annales mathématiques Blaise Pascal 2.1 (1995): 217-224. <http://eudml.org/doc/79117>.

@article{Perez1995,
author = {Perez-Garcia, C.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {spherically complete non-Archimedean Banach spaces; spherical completion},
language = {eng},
number = {1},
pages = {217-224},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {On isometries and compact operators between p-adic Banach spaces},
url = {http://eudml.org/doc/79117},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Perez-Garcia, C.
TI - On isometries and compact operators between p-adic Banach spaces
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 217
EP - 224
LA - eng
KW - spherically complete non-Archimedean Banach spaces; spherical completion
UR - http://eudml.org/doc/79117
ER -

References

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  1. [1] N. De Grande-De Kimpe, Structure theorems for locally K-convex spaces, Proc. Kon. Ned. Akad. v. Wet. A80 (1977),11-22. Zbl0343.46005MR430720
  2. [2] N. De Grande-De Kimpeand C. Perez-Garcia, On the non-archimedean space C(E,F), (preprint). 
  3. [3] T. Kiyosawa, On spaces of compact operators in non- archimedean Banach spaces, Canad. Math. Bull.32 (4) (1989), 450-458. Zbl0685.46053MR1019411
  4. [4] C. Perez-Garcia and W.H. Schikhof, Non-reflexive and non-spherically complete subspaces of the p-adic space l∞, To appear in Indagationes Mathematicae. Zbl0834.46063MR1324442
  5. [5] =======, Tensor product and p-adic vector valued continuous functions, In : p-adic Functional Analysis, N. De Grande-De Kimpe, S. Navarro and W.H. Schikhof, Universidad de Santiago, Chile (1994), 111-120. 
  6. [6] W.H. Schikhof, More on duality between p-adic Banach spaces and compactoids, Report 9011, Department of Mathematics, Catholic University, Nijmegen, The Netherlands (1993), 1-43. MR1351151
  7. [7] A.C.M. van Rooij, Non-archimedean Functional Analysis, Marcel Dekker, New York, 1978. Zbl0396.46061MR512894

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