what exactly is this line segment in the unit sphere Problem 4 Prove that If the unit sphere of a normed space X contains a line segment x, y where x, y E X and x y , then x and y are linearly independent and lla tyll llall llyll

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what exactly is this line segment in the unit sphere   Problem 4  Prove that  If the unit sphere of a normed space X contains a line segment  x, y  where x, y E X and x y , then x and y are linearly independent and lla tyll   llall   llyll

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Question: what exactly is this line segment in the unit sphere ? Problem 4. Prove that: If the unit sphere of a normed space X contains

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