Gollum: Redeemable or Not?

I would believe that the only way Gollum was redeemable was through his death. I think that Gollum's possession of the one Ring for as long as he had it, made his psyche and mind snap from the Ring's corrupting influence and evilness. The way Gollum acted throughout The Lord of the Rings, was a perfect example of bat-shit-crazy, kind of like the Joker. He was sneaky, a murderer, a liar, and completely untrustworthy. The only reason he guided Frodo and Sam was in hopes of recovering the Ring. His every motivation, desire, and need was centered around the Ring and the dreams of possessing it once again. Gollum acting good, nice and trustworthy was just that, an act that was selfishly motivated by his strong and overwhelming desire to have the Ring back in his possession. Gollum at every instance in The Two Towers and The Return of the King acted with thoughts of treachery and betrayal, all centered around thoughts of his precious. So I really believe that if Tolkien created him to be redeemed in any kind of way, it would be through his death and his release from his tormented and corrupted mind.