Re: p-norm a norm for p < 1?

From: Stephen Montgomery-Smith <stephen@xxxxxxxxxxxxxxxxx>
Date: Fri, 04 Jan 2008 16:01:23 -0600

G. A. Edgar wrote:

Interesting is the failure of things like the Hahn-Banach theorem. Indeed the dual space of L_p(0,1) for p<0 contains only the zero vector!

Even more interesting is the same thing for the case 0 < p < 1.

Um, yes! Sorry about that.

(Actually p<0 also makes sense in some contexts, but that is, of course, not what I meant!)
.

References:
- p-norm a norm for p < 1?
  - From: Kaba
- Re: p-norm a norm for p < 1?
  - From: Stephen Montgomery-Smith
- Re: p-norm a norm for p < 1?
  - From: Kaba
- Re: p-norm a norm for p < 1?
  - From: Stephen Montgomery-Smith
- Re: p-norm a norm for p < 1?
  - From: Kaba
- Re: p-norm a norm for p < 1?
  - From: G. A. Edgar

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