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Topic: measures and metrics
Replies: 2   Last Post: Jul 1, 1996 10:16 AM

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 Eric Friedman Posts: 4 Registered: 12/12/04
measures and metrics
Posted: Jun 20, 1996 1:14 PM

Hi, I have a compact (under weak convergence)
convex set which is a subset of the space of real valued
measures on a compact subset of \Re^n. I know the extreme points of
this set, and want to write the Choquet representation.

Is d(a,b)= \int |a-b|, where a,b are measures the right metric? (Is
it a complete metric?)
If so, is this all I need?

Is there a good reference for this stuff, at a somewhat elementary level.
I'm a novice at measure theory.

Thanks,
Eric
ericf@mail.duke.edu

Date Subject Author
6/20/96 Eric Friedman
6/21/96 G. A. Edgar
7/1/96 G. Winkler