Ultrabornological space

In functional analysis, a topological vector space (TVS)  is called ultrabornological if every bounded linear operator from  into another TVS is necessarily continuous. A general version of the closed graph theorem holds for ultrabornological spaces. 
Ultrabornological spaces were introduced by Alexander Grothendieck.


In functional analysis, a topological vector space (TVS) is called ultrabornological if every bounded linear operator from into another TVS is necessarily continuous. A general version of the closed graph theorem holds for ultrabornological spaces. Ultrabornological spaces were introduced by Alexander Grothendieck.
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