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On subseries convergent sequences

Published online by Cambridge University Press:  20 January 2009

M. Valdivia
M. Valdivia
Affiliation:
Facultad de Ciencias, Paseo al Mar, 13 Valencia, Spain
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In this article some properties on subseries convergent sequences in locally convex topological vector spaces are studied and some open questions of (2) are answered.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 257 - 262
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

(1) Amemiya, I. and Komura, Y., Über nicht-vollständige Montelräume. Math. Ann. 177 1968), 273–277.CrossRefGoogle Scholar
(2) Bucchioni, D. and Goldman, A., Sur certains espaces de formes linéaires lies aux mesures vectorielles, Ann. Inst. Fourier, 26 (1976), 173–209.CrossRefGoogle Scholar
(3) De Wilde, M. and Schmets, J., Caracterizations des espaces C(X) ultrabornologiques, Bull. Soc. R. Sciences Liege (1972).Google Scholar
(3) Dierolf, P., Dierolf, S. and Drewnowski, L., Remarks and examples concerning unordered Baire-like and ultrabarrelled space (To be published).CrossRefGoogle Scholar
(5) Dieudonne, J., Sur les propriètés de permanence de certains espaces vectoriels topologiques, Ann. Soc. Pol. Math. 25 (1952), 50–55.Google Scholar
(6) Dieudonne, J., Sur la convergence des suites de mesures de Radon, Anais Acad. Brasil. ci. 23 (1951), 21–38, 277–282.Google Scholar
(7) Nachbin, L., Topological vector spaces of continuous functions, Proc. Nat. Acad. of Sc. 40 (1954), 471–474.CrossRefGoogle ScholarPubMed
(8) Ptak, V., Completeness and the open mapping theorem, Bull. Soc. Math. France 86 1958), 41–74.CrossRefGoogle Scholar
(9) Shirota, T., On locally convex spaces of continuous functions, Proc. Japan Acad. 30 1954), 294–298.Google Scholar
(10) Tweddle, I., Unconditional convergence and vector-valued measures, J. London Math. Soc. (2) 2 (1970), 603–616.CrossRefGoogle Scholar
(11) valdivia, M., Some news results on bornological barrelled spaces, Proceedings of the Symposium of Functional Analysis, Silivri, Istambul (Turkey) 1974.Google Scholar