Let V be a complex inner product space with an inner product (, ). Let [, ] be the
Chapter 6, Problem 28(choose chapter or problem)
Let V be a complex inner product space with an inner product (, ). Let [, ] be the real-valued function such that [x.y] is the real part of the complex number (x.y) for all x.y E V. Prove that [*, ] is an inner product for V, where V is regarded as a vector space over R. Prove, furthermore, that [x,ix] = 0 for all x E V.
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