a) Bessel's Inequality. Let V be an inner product space, and let S = {r,. c 2 ..... vn }
Chapter 6, Problem 16(choose chapter or problem)
a) Bessel's Inequality. Let V be an inner product space, and let S = {r,. c 2 ..... vn } be an orthonormal subset of V. Prove that for any x V we have Ml 2 > l !' Hint: Apply Theorem 6.6 to x e V and W = span(5). Then use Exercise 10 of Section 6.1. (b) In the context of (a), prove that Bessel's inequality is an equality if and only if x G span(5).
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer