A triangle inequality for angles in a Hilbert space
Keywords:
Unit vectors, Hilbert space, triangle inequality (es)Downloads
Let x,y,z be unit vectors in a Hilbert space, and define the angle θxy by cos θxy = Re (x,y), 0 ≤ θxy ≤ π. The object this note is to give a proof of the following inequality
(1) θxz < θxy + θyz .
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Copyright (c) 1976 Revista Colombiana de Matemáticas

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