Hostname: page-component-848d4c4894-nmvwc Total loading time: 0 Render date: 2024-07-06T17:18:11.014Z Has data issue: false hasContentIssue false
  • English
  • Français

On Baire-hyperplane spaces

Published online by Cambridge University Press:  20 January 2009

M. Valdivia
M. Valdivia
Affiliation:
Facultad de Ciencias, Paseo al Mar, 13 ValenciaSpain
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this article we prove that in every infinite dimensional separable Fréchet space there is a dense barrelled subspace which is not the inductive limit of Bairehyperplane spaces.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 247 - 255
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

(1) Amemiya, I. and Komura, Y., Über nicht-vollständige Montel-räume, Math. Ann. 177 (1968), 273–271.CrossRefGoogle Scholar
(2) Dierolf, P., Dierolf, S. and Drenowski, L., Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces, (To be published).Google Scholar
(3) KöThe, G., Topological Vector Spaces I, (Springer, Berlin-Heidelberg-New York, 1969).Google Scholar
(4) Marti, J. T., Introduction to the theory of bases, (Springer, Berlin, 1969).CrossRefGoogle Scholar
(5) Valdivia, M., On Mackey spaces, Duke Math. J. 41 (1974) 835–841.CrossRefGoogle Scholar