A question of D. Vogt on (LF)-spaces
β Scribed by Klaus D. Bierstedt; Jose Bonet
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 178 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the answer to the following question of A. Beutelspacher is negative. For a finite linear space S on u points with b lines, if v equals the dimensions of the row space of any b x v-incidence matrix for S, does S necessarily have at least one line containing exactly two points?
In this note we construct a non-separable Frtchet space E with the following properties: (i) No subspace of E is isomorphic to el. (ii) There is a linear form on E' which is bounded on bounded sets but is not continuous (i.e., the Mackey topology p(E, E ) is not bornological). This is a negative ans