# proof of Riesz representation theorem for separable Hilbert spaces

## Primary tabs

Keywords:
Hilbert, Riesz, representation
Type of Math Object:
Proof
Major Section:
Reference

## Mathematics Subject Classification

46C99 no label found

## Comments

### generalisation

I wanted to add a proof for the general case, but you might like to change your entry to have only one proof for the theorem.

### Re: generalisation

I suggest you post your proof as an addition to the entry --- the proof I give is specific to Hilbert spaces insofar as it makes use of the inner product in an essential way. I think it would be good to have both proofs here, your proof for the general case and my proof using a method adapted to this special case.