Last Updated：2025/11/24
Sentence
一様ノルムを用いると、区間[0,1]上の連続実数値関数の空間 C([0,1]) は距離付け可能でその距離で完備であり、したがって任意のコーシー列は連続な極限に収束します。
Quizzes for review
With the sup norm, the space C([0,1]) of continuous real-valued functions is completely metrizable, so every Cauchy sequence converges to a continuous limit.
See correct answer
With the sup norm, the space C([0,1]) of continuous real-valued functions is completely metrizable, so every Cauchy sequence converges to a continuous limit.
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