That's one option. But a Schema (or DTD) is not mandatory, and not all schemas can easily be linked (few tools handle relaxng or schematron for namespace spec).

The core purpose of XML namespaces, and that of any namespace really, is better modularity and compositionability by preventing name collisions. This is useful when manipulating XML via XML (e.g. XSL, Genshi, ...) or when using multiple XML dialects in the same file (either because they're orthogonal or because they complement one another) for instance. You could do it by explicit prefixing à la C or Objective-C, but it tends to get dreary, requires everybody's cooperation and generally looks bad (not that xml namespaces look overly sexy).