Infunctional analysis and related areas of mathematicsaBrauner space is a complete compactly generated locally convex space having a sequence of compact sets such that every other compact set is contained in some .
Brauner spaces are named after Kalman George Brauner, who began their study.[1] All Brauner spaces are stereotype and are in the stereotype duality relations with Fréchet spaces:[2][3]
Special cases of Brauner spaces are Smith spaces.
In the special case when possesses a structure of a topological group the spaces , , become natural examples of stereotype group algebras.
Topological vector spaces (TVSs)
| |
---|---|
Basic concepts |
|
Main results |
|
Maps |
|
Types of sets |
|
Set operations |
|
Types of TVSs |
|
|