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Results tagged with function-spaces
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user 23007
2
votes
Recognizing locally convex spaces on which all bounded linear functionals are continuous
Your strict topology ($\beta_t$) is the strongest locally convex topology on $ C_b(T)$ coinciding with the compact-open topology on the unit ball $ \{ x \in C_b(T): \sup_{t \in T} | x(t) |\leq 1 \}$. …
- 362
2
votes
When is the strict topology bornological?
There are several strict topologies on the space $C_b(T)$ of bounded continuous functions on
$T$: $\beta_t$, $\beta_\tau$, ... The following is valid.
The topology $\beta_t$ or $\beta_\tau$ (resp., …
- 362