MATH 307 Individual Homework 8 solution

Description

1. Prove that kxk1 =
X
n
i=1
|xi
| indeed defines a norm for x ∈ C
n
.
2. Prove that 1 and ∞ norms in C
n
are equivalent in the sense that kxk∞ ≤
kxk1 ≤ nkxk∞ for all x ∈ C
n
.