Abstract
We construct a countable-dimensional Hausdorff locally convex topological vector space $E$ and a stratifiable closed linear subspace $F$ subset of $E$ such that any linear extension operator from $C_b(F)$ to $C_b(E)$ is unbounded (here $C_b(X)$ stands for the Banach space of continuous bounded real-valued functions on $X$).
| Original language | English |
|---|---|
| Pages (from-to) | 188-197 |
| Number of pages | 10 |
| Journal | Russian Journal of Mathematical Physics |
| Volume | 9 |
| Issue number | 2 |
| Publication status | Published - Apr 2002 |
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Statistical and Nonlinear Physics