Tensor products and -nuclear spaces in -adic analysis

A.K. Katsaras

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 155-168
  • ISSN: 1259-1734

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Katsaras, A.K.. "Tensor products and $\gamma _0$-nuclear spaces in $p$-adic analysis." Annales mathématiques Blaise Pascal 2.1 (1995): 155-168. <http://eudml.org/doc/79111>.

@article{Katsaras1995,
author = {Katsaras, A.K.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {topological tensor product of two -nuclear spaces},
language = {eng},
number = {1},
pages = {155-168},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Tensor products and $\gamma _0$-nuclear spaces in $p$-adic analysis},
url = {http://eudml.org/doc/79111},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Katsaras, A.K.
TI - Tensor products and $\gamma _0$-nuclear spaces in $p$-adic analysis
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 155
EP - 168
LA - eng
KW - topological tensor product of two -nuclear spaces
UR - http://eudml.org/doc/79111
ER -

References

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  1. [1] N. De Grande-De Kimpeand S. Navarro, Non-Archimedean nuclearity and spaces of continuous functions, Indag.Math. N.S, 2 (1991),201-206. Zbl0746.54004MR1123361
  2. [2] A.K. Katsaras,Non-Archimedean Köthe sequence spaces, Boll. U.M.I., 5-B(7) (1991), 703-725. Zbl0779.46053MR1127019
  3. [3] A.K. Katsaras,On non-Archimedean sequence spaces, Bull. Inst. Math. Acad. Sinica, 18 (1990), 113-126. Zbl0723.46050MR1071228
  4. [4] A.K. Katsaras,Non-Archimedean A-nuclear spaces, Proc. of the Laredo Conf. on p-adic Functional Analysis, Lecture Notes in Pure and Appl. Math.137 (1992), 101-119 Zbl0773.46038MR1152572
  5. [5] A.K. Katsaras,Non-Archimedean Λ0-compactoid sets and Λ0-nuclear operators, Boll. U.M.I., (7) 7-B (1993), 691-718. Zbl0856.47046MR1244414
  6. [6] A.K. Katsaras and C. Perez-Garcia, Λ0-compactoid sets and Λ0-compactoid operators versus compactoid sets and compact operators, Boll. U.M.I. (7) 8-B (1994), 371-389. Zbl0878.47048MR1278341
  7. [7] A.K. Katsaras and C. Perez-Garcia, Λ0-nuclear operators and Λ0-nuclear spaces in p-adic Analisis (preprint). 
  8. [8] C. Perez-Garcia and W.H. Schikhof,Tensor product and p-adic vector valued continuous functions (preprint). MR1459196
  9. [9] W.H. Schikhof, Locally convex topologies over non-spherically complete fields I-II, Bull. Soc. Math. Belg. Ser. B, 38 (1986), 187-224. Zbl0615.46071MR871313
  10. [10] A.C.M. van Rooij, Non-Archimedean Functional Analysis, Marcel Dekker, New York, 1978. Zbl0396.46061MR512894

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