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On quasi-normable echelon spaces

Published online by Cambridge University Press:  20 January 2009

M. Valdivia
M. Valdivia
Affiliation:
Facultad de MatemáticasDr Moliner, s/nBurjasot, Valencia, Spain
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In this paper we prove that if the strong dual of an echelon space fulfils the Mackey convergence condition the echelon space is quasi-normable. Also we give a characterisation of the quasi-normable echelon spaces and we deduce that every non-quasi-normable echelon space is the strong dual of a non-complete (LB)-space.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 1 , February 1981 , pp. 73 - 80
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

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