On the three-space-problem for dF spaces and their duals

Authors

  • Zoran Kadelburg Faculty of Mathematics, Studentski trg 16, Beograd, Yugoslavia Author
  • Stojan Radenović Faculty of Mechanical Engineering, 27. marta 80, Beograd, Yugoslavia Author

Keywords:

Three-space-problem, DF space, dF space, dual Fréchet space

Subjects:

46A03, 46A04

Abstract

It is shown that dF spaces of K. Brauner behave more regularly than DF spaces in connection with the three-space-problem. In particular, this problem has a positive answer in the class of Fréchet spaces for the property of being the strong dual of a barrelled dF space. Thus, a partial positive answer to a question of D. Vogt is obtained.

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Published

2002-10-15

Issue

Vol. 54 No. 3–4 (2002): Vol. 54, Issue 3–4

Section

Articles

License

Copyright (c) 2002 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.