Abstract
A topological vector space X over \(\mathbb{R}\) or \(\mathbb{C}\) is a vector space, which is also a topological space, in which the vector space operations are continuous.
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Osborne, M.S. (2014). Topological Vector Spaces. In: Locally Convex Spaces. Graduate Texts in Mathematics, vol 269. Springer, Cham. https://doi.org/10.1007/978-3-319-02045-7_2
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