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In functional analysis and related areas of mathematics a FK-space or Fréchet coordinate space is a sequence space equipped with a topological structure such that it becomes a Fréchet space. FK-spaces with a normable topology are called BK-spaces. There exists only one topology to turn a sequence space into a Fréchet space, namely the topology of pointwise convergence. Thus the name ''coordinate space'' because a sequence in an FK-space converges if and only if it converges for each coordinate. FK-spaces are examples of topological vector spaces. They are important in summability theory. ==Definition== A FK-space is a sequence space , that is a linear subspace of vector space of all complex valued sequences, equipped with the topology of pointwise convergence. We write the elements of as : Then sequence in converges to some point 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「FK-space」の詳細全文を読む スポンサード リンク
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