{wiki=Linear_subspace#Topological_vector_spaces}

A closed vector subspace of a <topological vector space> is both a <vector subspace> and a <closed set>. The kernel of a <continuous linear map> is a closed vector subspace.


Closed vector subspace

{wiki=Continuous_linear_operator}

A continuous linear map is a <linear map> that is continuous for the topologies on its domain and codomain. Between <normed vector space>[normed vector spaces], continuity is equivalent to boundedness.


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 Incoming links: Continuous linear map