Hello!

I know that if U and V are vector spaces over a field F then dim L(U,V) dimU dimV. I am looking for an example where both U and V are infinite-dimensional vector spaces such that dim L(U,V)< dim U dimV.

Thanks in advance!

- January 3rd 2012, 12:56 PMBiscaimdimension of L(U,V), U and V are infinite-dimensional vector spaces
Hello!

I know that if U and V are vector spaces over a field F then dim L(U,V) dimU dimV. I am looking for an example where both U and V are infinite-dimensional vector spaces such that dim L(U,V)< dim U dimV.

Thanks in advance!