On weighted inductive limits of non-Archimedean spaces of continuous functions
Bollettino dell'Unione Matematica Italiana (2000)
- Volume: 3-B, Issue: 3, page 757-774
- ISSN: 0392-4041
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topKatsaras, A. K., and Benekas, V.. "On weighted inductive limits of non-Archimedean spaces of continuous functions." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 757-774. <http://eudml.org/doc/195198>.
@article{Katsaras2000,
author = {Katsaras, A. K., Benekas, V.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {weighted inductive limits of non-Archimedean spaces of continuous functions; weighted spaces of continuous functions; non-Archimedean nontrivially complete field; decreasing sequence of upper semicontinuous functions},
language = {eng},
month = {10},
number = {3},
pages = {757-774},
publisher = {Unione Matematica Italiana},
title = {On weighted inductive limits of non-Archimedean spaces of continuous functions},
url = {http://eudml.org/doc/195198},
volume = {3-B},
year = {2000},
}
TY - JOUR
AU - Katsaras, A. K.
AU - Benekas, V.
TI - On weighted inductive limits of non-Archimedean spaces of continuous functions
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 757
EP - 774
LA - eng
KW - weighted inductive limits of non-Archimedean spaces of continuous functions; weighted spaces of continuous functions; non-Archimedean nontrivially complete field; decreasing sequence of upper semicontinuous functions
UR - http://eudml.org/doc/195198
ER -
References
top- BASTIN, F., On bornological spaces, Arch. Math., 53 (1989), 394-398. Zbl0693.46022MR1016004
- BASTIN, F., Weighted spaces of continuous functions, Bull. Soc. Roy. Sc. Liège, 1 (1990), 1-81. Zbl0705.46010MR1039680
- BASTIN, F.- ERNST, B., A criterion for to be quasinormable, Results in Math., 14 (1988), 223-230. Zbl0705.46011MR964041
- BIERSTEDT, K. D., The approximation property for weighted function spaces, Bonner Math. Schriften, 81 (1975), 3-25. Zbl0333.46023MR493282
- BIERSTEDT, K. D., Tensor products of weighted spaces, Bonner Math. Schriften, 81 (1975), 26-58. Zbl0333.46024MR493283
- BIERSTEDT, K. D.- BONET, J., Stefan Heinrich's density condition for Fréchet spaces and the characterization of the distinguished Köthe echelon spaces, Math. Nach., 135 (1988), 149-180. Zbl0688.46001MR944226
- BIERSTEDT, K. D.- BONET, J., Dual density conditions in (DF)-spaces I, Results in Math., 14 (1988), 242-274. Zbl0688.46002MR964043
- BIERSTEDT, K. D.- BONET, J., Dual density conditions in (DF)-spaces, Bull. Soc. Roy. Sc. Liège, 57 (1988), 567-589. Zbl0688.46003MR986374
- BIERSTEDT, K. D.- BONET, J., Some results on , pp. 181-194 in: T. Terzioglu (Ed.), Advances in the theory of Fréchet spaces, Kluwer Academic Publishers, 1989. Zbl0716.46026MR1083564
- BIERSTEDT, K. D.- BONET, J., Completeness of the (LB)-space , Arch. Math. (Basel), 56 (1991), 281-288. Zbl0688.46004MR1091882
- BIERSTEDT, K. D.- MEISE, R., Distinguished echelon spaces and the projective description of weighted inductive limits of type , pp. 169-226 in: Aspects in Mathematics and its Applications, Elsevier Science Publ. B. V., North-Holland Math. Library, 1986. Zbl0645.46027MR849552
- BIERSTEDT, K. D.- MEISE, R.- SUMMERS, W. H., A projective description of weighted inductive limits, Trans. Amer. Math. Soc., 272 (1982), 107-160. Zbl0599.46026MR656483
- BIERSTEDT, K. D.- MEISE, R.- SUMMERS, W. H., Köthe sets and Köthe sequence spaces, pp. 27-91 in: Functional Analysis, Holomorphy and Approximation Theory, North-Holland Math. Studies, 71, 1982. Zbl0504.46007MR691159
- BONET, J., A projective description of weighted inductive limits of spaces of vector valued continuous functions, Collectanea Math., 34 (1983), 115-125. Zbl0708.46037MR766993
- BONET, J., On weighted inductive limits of spaces of continuous functions, Math. Z., 192 (1986), 9-20. Zbl0575.46025MR835386
- CARNEIRO, J. P. Q., Non-Archimedean weighted approximation (in Portuguese), An. Acad. Bras. Ci., 50 (1) (1978), 1-34. Zbl0399.41033MR473806
- CARNEIRO, J. P. Q., Non-Archimedean weighted approximation, pp. 121-131 in: Approximation Theory and Functional Analysis (J. B. Prolla, editor), North-Holland Publ. Co. (Amsterdam), 1979. Zbl0432.41021MR553418
- DE GRANDE-DE KIMPE, N.- KĄKOL, J.- PEREZ-GARCIA, C.- SCHIKHOF, W. H., -adic locally convex inductive limits, pp. 159-222 in: -adic Functional Analysis, Marcel Dekker, Inc., Lecture Notes in Pure and Applied Mathematics, 192, 1997. Zbl0889.46063MR1459211
- ERNST, B., On the uniqueness of weighted (DF)-topologies, Bull. Soc. Roy. Sc. de Liège, 5-6 (1987), 451-461. Zbl0645.46028MR929910
- ERNST, B.- SCHETTLER, P., On weighted spaces with a fundamental sequence of bounded sets, Arch. Math., 47 (1986), 552-559. Zbl0612.46026MR871295
- KATSARAS, A. K.- BELOYIANNIS, A., Non-Archimedean weighted spaces of continuous functions, Rendiconti di Mat. Serie VII, vol. 16 (1996), 545-562. Zbl0911.46049MR1451076
- KATSARAS, A. K.- BELOYIANNIS, A., On non-Archimedean weighted spaces of continuous functions, pp. 237-252 in: -adic Functional Analysis, Lecture Notes in Pure and Applied Mathematics192, Marcel Dekker, 1997. Zbl0947.46057MR1459213
- KATSARAS, A. K.- BELOYIANNIS, A., Tensor products of non-Archimedean weighted spaces of continuous functions, Georgian J. Math., Vol. 6, No 1 (1999), 33-44. Zbl0921.46085MR1672990
- NACHBIN, L., Elements of Approximation Theory, Van Nostrand Math. Studies, 14, 1967. Zbl0173.41403MR217483
- PROLLA, J. B., Weighted spaces of vector-valued continuous functions, Ann. Mat. Pura Appl. (4) 89 (1971), 145-158. Zbl0224.46024MR308771
- SCHIKHOF, W. H., Locally convex spaces over non-spherically complete valued fields I, II, Bul. Soc. Math. Belg., serie B XXXVIII (1986), 187-224. Zbl0615.46071MR871313
- VAN ROOIJ, A. C. M., Non-Archimedean Functional Analysis, New York and Basel, Marcel Dekker, Inc., 1978. Zbl0396.46061MR512894
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