Date: Mar 7, 2013 6:08 PM
Author: Kaba
Subject: Re: F^I isomorphic to finite(F^I)
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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