= Complete topological vector space
{wiki=Complete_topological_vector_space}
A complete topological vector space is a concept from functional analysis, a branch of mathematics that studies vector spaces endowed with a topology, particularly focusing on continuity and convergence properties. In more detail, a **topological vector space** \\( V \\) is a vector space over a field (usually the real or complex numbers) that is also equipped with a topology that makes the vector operations (vector addition and scalar multiplication) continuous.
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