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    Bonet, José Dierolf, Susanne and Aye Aye, Khin 2006. Dense subspaces of quasinormable spaces. Mathematische Nachrichten, Vol. 279, Issue. 7, p. 699.


    Bonet, José 1997. Intersections of Fréchet Schwartz spaces and their duals. Archiv der Mathematik, Vol. 68, Issue. 4, p. 320.


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  • Proceedings of the Edinburgh Mathematical Society, Volume 36, Issue 2
  • June 1993, pp. 277-281

On the lifting of bounded sets in Fréchet spaces

  • José Bonet (a1) and Susanne Dierolf (a2)
  • DOI: http://dx.doi.org/10.1017/S001309150001837X
  • Published online: 01 January 2009
Abstract

This paper considers the behaviour of a quotient map between Fréchet spaces concerning the lifting of bounded sets. The main result shows that a quotient map between Fréchet spaces that lifts bounded sets with closure (or equivalently such that its strong transpose is a topological isomorphism) must also lift bounded sets without closure.

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6.J. Bonet , S. Dierolf and C. Fernández , The bidual of a distinguished Fréchet space need not be distinguished, Archiv Math. 57 (1991), 475478.

11.H. Jarchow , Locally Convex Spaces (B.G. Teubner, Stuttgart1981).

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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