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by aristarty
Sun May 31, 2020 4:33 pm
Forum: Functional Analysis
Topic: Inner product space
Replies: 1
Views: 4340

Inner product space

Hi everyone!
I faced with a problem: prove that two vectors of inner product space is on the same ray only when $\left \| x+y \right \| = \left \| x \right \| + \left \| y \right \|$.
Does anyone know how to prove it?