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Tp norms and Tp spaces

🔗Mike Battaglia <battaglia01@gmail.com>

8/6/2012 10:07:16 AM

OK, I finally got a bunch of work done on these two articles

http://xenharmonic.wikispaces.com/Generalized+Tenney+Norms+and+Tp+Interval+Space
http://xenharmonic.wikispaces.com/Generalized+Tenney+Dual+Norms+and+Tp+Tuning+Space

I covered
1) Tp norms on full-limits and prime powers
2) Tp norms on subgroups
3) The T1 norm
4) A bit about the T2 norm and how it defines an inner product
5) An example of calculating the T1 norm of 245/243 on the 2.9/7.5/3 subgroup
6) Dual Tq* norms on interval space to Tp norms
7) Tq* norms on full-limits and prime powers
8) Tq* norms on subgroups

I'd still like to cover
9) an example calculating the Tq* norm of some sval
10) induced Tp quotient norms on tmonzos and tempered interval spaces
11) induced Tq* subspace norms on tvals and tempered tuning spaces
12) touch on Graham's composite.pdf stuff

but for now, I really need to take a break.

Please feel free to tweak things. I'll tell you right now it was a
bitch figuring out how to latex some of this up (is G a subscript, is
it a superscript, I dunno?), so go ahead and mess with things if you
can fix the formatting.

How does it all look?

-Mike