Suppose p > 0. Prove that there is an inner product on R2 such that the associated norm is given by ||(x, y)|| = (xP + yP)'/P for all (x, y) e R² if and only if p = 2.
Suppose p > 0. Prove that there is an inner product on R2 such that the associated norm is given by ||(x, y)|| = (xP + yP)'/P for all (x, y) e R² if and only if p = 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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