ma222.pdf - Free download as PDF File (.pdf), Text File (.txt) or view presentation slides online. The document defines metric spaces and normed linear spaces. It provides examples of metric spaces including Euclidean n-spaces with the p-norm for p ≥ 1, and n-spaces with the max or infinity norm. It proves that the unit balls in p-norm spaces are convex, and uses this to prove the triangle inequality for p-norms. It also gives some examples of more exotic metric spaces such as discrete…
