Friends | ∞ Bourbaki: What's the connection between the measure-theoretic and Hilbert space Riesz representation theorems? 10 years ago • Report • Link 0 calybonos: Hilbert space is like the freeway system in Los Angeles and dual space is the Metro de Paris. 10 years ago • Report 0 Bourbaki: In my inability to understand the analogy I ask you: "Where do Borel measures fit?" 10 years ago • Report 0 Bourbaki: It took me an incredibly long time to realize that vector spaces are fields acting on abelian groups. -Qiaochu Yuan |