Re: Banach Spaces / equivalent norms

On Tue, 03 Apr 2007 23:22:03 EDT, craig <ctcowan@xxxxxxxxxxx> wrote:

Does anyone know of an easy example of a vector space with two non-equivalent norms and for which both spaces are complete?

I doubt that an easy example exists, in the sense in which I suspect
you mean.

One can give an easy proof from the Axiom of Choice that such an
example exists - if that's not clear I can show you that. But
I doubt that the easy AC proof of existence counts as an easy
_example_; it doesn't really "give" the example...

thanks


craig


************************

David C. Ullrich
.

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