Proving closed unit ball of the normed space
Question:
Prove
1. Prove that the closed unit ball of the normed space (C[0,1], | |∞) is not compact. As usual C[0,1] stands for the space of all continuous functions f: [0,1]→ R, and | |∞ is the uniform norm on that space.
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Prove that the closed unit ball of the normed space (C[0,1], | |8) is not compact. As usual C[0,1] stands for the space of all continuous functions
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