Limited spaces
De Grande-De Kimpe, N. ; Perez-Garcia, C.
Annales mathématiques Blaise Pascal, Tome 2 (1995), p. 117-129 / Harvested from Numdam
Publié le : 1995-01-01
@article{AMBP_1995__2_1_117_0,
     author = {De Grande-De Kimpe, Nicole and P\'erez-Garc\'\i a, Cristina},
     title = {Limited spaces},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {2},
     year = {1995},
     pages = {117-129},
     mrnumber = {1342809},
     zbl = {0833.46059},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_1995__2_1_117_0}
}
De Grande-De Kimpe, N.; Perez-Garcia, C. Limited spaces. Annales mathématiques Blaise Pascal, Tome 2 (1995) pp. 117-129. http://gdmltest.u-ga.fr/item/AMBP_1995__2_1_117_0/

[1] J. Bonet, A question of Valdivia on quasinormable Fréchet spaces, Canad. Math. Bull. 34 (3) (1991), 301-304. | MR 1127750 | Zbl 0698.46002

[2] J. Bonet, M. Lindström, and M. Valdivia, Two theorems of Josefson-Nissenzweig type for Fréchet spaces, Proc. Amer. Math. Soc. 117 (1993), 363-364. | MR 1136233 | Zbl 0785.46002

[3] J. Bourgain and J. Diestel, Limited operators and strict cosingularity, Math. Nachr. 119 (1984), 55-58. | MR 774176 | Zbl 0601.47019

[4] N. De Grande-De Kimpe, On spaces of operators between locally K-convex spaces, Proc. Kon. Ned. Akad. v. Wet. A75 (1972), 113-129. | MR 303351 | Zbl 0235.46013

[5] =====, Structure theorems for locally K-convex spaces, Proc. Kon. Ned. Akad. v. Wet. A80 (1977), 11-22. | MR 430720 | Zbl 0343.46005

[6] =====, Non-archimedean nuclearity, Groupe d'étude d'analyse ultramétrique, Institut Henri-Pincaré, Paris (1982).

[7] N. De Grande-De Kimpeand S. Navarro, Non-archimedean nuclearity and spaces of continuous functions, Indag. Math. N.S., 2 (1991), 201-206. | MR 1123361 | Zbl 0746.54004

[8] =====, The non-archimedean space BC(X) with the strict topology, Publicacions Matemátiques 37 (1993).

[9] N. De Grande-De Kimpeand C. Perez-Garcia, Non-archimedean GP-spaces, Bulletin of the Belgian Mathematical Society, Simon Stevin 1 (1994), 99-105. | MR 1314924 | Zbl 0812.46075

[10] =====, Two new operator-ideals in non-archimedean Banach spaces, In: p-adic Functional Analysis, N. De Grande-De Kimpe, S. Navarro and W.H. Schikhof, Universidad de Santiago, Chile (1994), 33-43.

[11] N. De Grande-De Kimpe, C. Perez-Garcia and W.H. Schikhof, Non-archimedean t-frames and FM-spaces, Canad. Math. Bull. 35 (2) (1992), 1-9. | MR 1191506 | Zbl 0739.46057

[12] H. Jarchow, Locally convex spaces, B.G. Teubner, Stuttgart, 1981. | MR 632257 | Zbl 0466.46001

[13] B. Josefson, Weak sequential convergence in the dual of a Banach space does not imply norm convergence, Ark. Math. 13 (1975), 78-89. | MR 374871 | Zbl 0303.46018

[14] A.K. Katsaras, Non-archimedean Kõthe sequence spaces, Bolletino U.M.I (7), 5-B (1991), 703-725. | MR 1127019 | Zbl 0779.46053

[15] T. Kiyosawa, On spaces of compact operators in non-archimedean Banach spaces, Canad. Math. Bull. 32 (4) (1989), 450-458. | MR 1019411 | Zbl 0685.46053

[16] G. Köthe, Topological vector spaces I, Springer-Verlag, Berlin, 1969. | Zbl 0179.17001

[17] M. Lindström, A characterization of Schwartz spaces, Math. Z. 198 (1988), 423-430. | MR 946613 | Zbl 0653.46007

[18] M. Lindström and T. Schlumprecht, On limitedness in locally convex spaces, Arch. Math. 53 (1989), 65-74. | MR 1005171 | Zbl 0685.46001

[19] N. Nissenzweig, w*-sequential convergence, Israel J. Math 22 (1975), 266-272. | MR 394134 | Zbl 0341.46012

[20] C. Perez-Garcia, On compactoidity in non-archimedean locally convex spaces with a Schauder basis, Proc. Kon. Ned. Akad. v. Wet. A91 (1988), 85-88. | MR 934476 | Zbl 0648.46069

[21] C. Perez-Garcia and W.H. Schikhof, Compact operators and the Orlicz-Pettis property in p-adic analysis, Report 9101, Department of Mathematics, Catholic University, Nijmegen, The Netherlands (1991), 1-27. | MR 1252732

[22] A. Pietsch, Operators ideals, North-Holland, Amsterdam, 1980. | MR 582655 | Zbl 0434.47030

[23] W.H. Schikhof, Locally convex spaces over non-spherically complete valued fields I-II, Bull. Soc. Math. Belgique (ser.B) XXXVIII (1986), 187-224. | MR 871313 | Zbl 0615.46071

[24] =====, The continuous linear image of a p-adic compactoid, Proc. Kon. Ned. Akad. v. Wet. A92 (1989), 119-123. | MR 993683 | Zbl 0696.46053

[25] A.C.M. Van Rooij, Non-archimedean Functional Analysis, Marcel Dekker, New York, 1978. | MR 512894 | Zbl 0396.46061