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Results tagged with topological-vector-spaces
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user 317800
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.
2
votes
Pontryagin-reflexivity of spaces of continuous functions
This is a bit tangential to your query but I hope that it might be useful. The duality for Banach spaces that you mention is, in my opinion, best expressed in terms of the symmetric one between betwe …
- 406
1
vote
Parametrization of topological algebraic objects
Please regard this as a tentative answer since I am not sure that it corresponds to the spirit of your query. Many of the situations that you use to illustrate your query can be coded by using the co …
- 406