From: "G. A. Edgar" Subject: Re: bourbaki integral Date: Thu, 28 Sep 2000 09:40:02 -0400 Newsgroups: sci.math Summary: Bourbaki's definition of integrals (Riesz Representation) > >I read a book about functional analysis and found in its appendix, that one > >can introduce / define the integral (ala bourbaki) as (continous? if yes in > >which norm / topology) linear functionals over the space of continous > >functions with compact support. Please, can someone give me a more detailed > >explanation about this integral approach? When I was in graduate school, one of my fellow students proposed calling this "The Riesz Representation Definition" -- Gerald A. Edgar edgar@math.ohio-state.edu