ECE 735 Signal Synthesis and Recovery Techniques: Blackboard Problem 1

ECE 735 Signal Synthesis and Recovery Techniques

Blackboard Problem 2

Remark

As a consequence, of Proposition 10.5 and Problem 10-3, we saw that every linear functional on a finite-dimensional inner product space is bounded.

Problem

Let W be a finite-dimensional normed vector space. Show that every linear functional on W is bounded. Hint: Use Lemma 8.4 and the notation preceding it.