I came across this problem today and haven't been able to figure it out...(adsbygoogle = window.adsbygoogle || []).push({});

Give an example of a vector space V which isomorphic to a proper subspace W, i.e. V != W.

It seems to me that V can't have a finite basis, but can't think of any examples regardless...any thoughts?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Vector space isomorphism

**Physics Forums | Science Articles, Homework Help, Discussion**