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Results tagged with topological-vector-spaces
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user 73850
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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When are the closed convex subsets countable intersections of halfspaces
Those authors have a book on the topic that gives the following more down-to-earth interpretation:
J. M. Borwein and J. D. Vanderwerff, Convex Functions: Constructions, Characterizations and Counterex …
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