Definition talk:Orthonormal Subset

Why bother to have the same definition twice? There's really nothing different for IPSs and Hilbert Spaces. This will only cause confusion. --Lord_Farin (talk) 08:19, 1 February 2013 (UTC)


 * Also with the new set-up. The problem is that the definition for Hilbert spaces is taken literally from that of IPSs (which is natural for any concept not concerning completeness). --Lord_Farin (talk) 12:07, 1 February 2013 (UTC)


 * The Hilbert Space definition is the original definition, which was the only one on this page before I refactored it. There are far more links to it than the Inner Product Space definition. It was the IPS definition that I rewrote to match the definition for Hilbert Spaces.
 * Also, the definition of bases for Hilbert Spaces and Inner Product Spaces are different, as far as I recall. --Anghel (talk) 12:17, 1 February 2013 (UTC)


 * Ah, I now realize that you wrote the original page. So you should know whether your HS definition matches the broader one for IPS. If you know that you don't need a special definition for HS, feel free to change the page. --Anghel (talk) 12:20, 1 February 2013 (UTC)


 * Separated Definition:Basis (Hilbert Space) properly. The definition of basis for HSs differs from that for VSs, but I don't know which of these is usually applied to IPSs and therefore I've taken the safe route and followed Conway. Case closed. --Lord_Farin (talk) 12:34, 1 February 2013 (UTC)