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linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space. The most important...

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largest length of b i {\displaystyle \mathbf {b} _{i}} under the Euclidean norm, that is, B = max ( ‖ b 1 ‖ 2 , ‖ b 2 ‖ 2 , … , ‖ b d ‖ 2 ) {\displaystyle...

property of normed spaces that is satisfied precisely if weak convergence of sequences entails convergence in norm. When we are working in a normed space X...

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