Functional Analysis/Harmonic Analysis/Topological Groups/Exercises

From Wikibooks, open books for an open world
Jump to navigation Jump to search

1) Give as many examples as you can of topological groups which do not fall within any of the examples we gave in section Functional Analysis 9.1.

2) Prove that the inverse of an isomorphism.

3) show that for each the maps and are topological group homomorphisms.