EDB — 114

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E6

[114]The condition that 𝜑 is surjective cannot be removed from the Mazur–Ulam theorem. Find an example.

Hint. By the previous exercise [112], the sphere {xM2,xM2=1} must contain segments.

Solution 1

[115]

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  • normed vector space
  • theorem, Mazur–Ulam
  • sphere
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