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proof of Riesz representation theorem for separable Hilbert spaces

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

Mathematics Subject Classification

46C99 no label found

Comments

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.

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.

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