- #1
Bacle
- 662
- 1
Hi, Analysts:
I was just looking for a nice proof that when V is an infinite-dimensional normed space,
then V and V* are not isomorphic ( I think there is an exception if V is a Hilbert Space,
by using Riesz Representation ).
Also: while V is not always isomorphic to V* in the inf.-dim. (non-Hilbert) case:
Is V isomorphic to its (strictly smaller than the total dual) _continuous_ dual ?
Thanks for any references, help.
I was just looking for a nice proof that when V is an infinite-dimensional normed space,
then V and V* are not isomorphic ( I think there is an exception if V is a Hilbert Space,
by using Riesz Representation ).
Also: while V is not always isomorphic to V* in the inf.-dim. (non-Hilbert) case:
Is V isomorphic to its (strictly smaller than the total dual) _continuous_ dual ?
Thanks for any references, help.