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Topic: F^I isomorphic to finite(F^I)
Replies: 11   Last Post: Mar 8, 2013 3:45 PM

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Registered: 5/23/11
Re: F^I isomorphic to finite(F^I)
Posted: Mar 7, 2013 6:08 PM
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6.3.2013 23:13, Arturo Magidin wrote:
> PROPOSITION: A vector space V is isomorphic to its dual if and only if dim(V) is finite.

Yep, this is what I am after.

> You can see a collection of proofs at
> http://mathoverflow.net/questions/13322/
> Alternatively:
> From an old post of Bill Dubuque's,
> https://groups.google.com/forum/?fromgroups=#!msg/sci.math/8aeaiKMLP8o/OeF_n4IseYIJ
> of from
> http://math.stackexchange.com/a/58598

Thanks, Arturo, this is exactly what I needed, and I think I got it.
This was also my first proof which concerned cardinalities, so nice to
learn some new techniques:)


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