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Results tagged with topological-vector-spaces
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user 68384
A topological vector space is a vector space $V$ over a topological field $\mathbb{K}$ (typically $\mathbb{K}=\mathbb{R}$ or $\mathbb{K}=\mathbb{C}$), together with a topology on $V$ such that vector addition and scalar multiplication are both continuous. Hilbert spaces and Banach spaces are examples of topological vector spaces.
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Schwartz space of functions with values in a Frechet space
Please see the following reference:
Treves' book (Dover edition), page 450, exercise 44.6.
this short article by Schwartz:
http://www.numdam.org/item/SLS_1953-1954__1__A11_0
and this long version of …
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