This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
This article needs a introduction, a bit of style, links to relevant subjects, and a spellcheck. That just to start. :) Oleg Alexandrov ( talk) 01:28, 16 June 2006 (UTC)
The very first sentence is wrong:
But Hilbert spaces have an inner product, that's part of the definition of a Hilbert space. Soo, what was actually meant ?? Reading further into the article, it seems that the correct definition would be:
Err, I see that it has to be a complex vector space. So then:
This is my guess; can someone correct this please? linas 00:18, 23 June 2006 (UTC)
I am no expert on operator theory, but I have been reading some papers into which Krein spaces enter, and have concluded that possible remaining null directions in the "Hilbert" inner product needed more delicate handling. I am not 100% convinced I have this straight yet and will do some more homework before I do another editing pass. In the meantime, comments and fixes are of course welcome. Michael K. Edwards 11:49, 3 September 2006 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
This article needs a introduction, a bit of style, links to relevant subjects, and a spellcheck. That just to start. :) Oleg Alexandrov ( talk) 01:28, 16 June 2006 (UTC)
The very first sentence is wrong:
But Hilbert spaces have an inner product, that's part of the definition of a Hilbert space. Soo, what was actually meant ?? Reading further into the article, it seems that the correct definition would be:
Err, I see that it has to be a complex vector space. So then:
This is my guess; can someone correct this please? linas 00:18, 23 June 2006 (UTC)
I am no expert on operator theory, but I have been reading some papers into which Krein spaces enter, and have concluded that possible remaining null directions in the "Hilbert" inner product needed more delicate handling. I am not 100% convinced I have this straight yet and will do some more homework before I do another editing pass. In the meantime, comments and fixes are of course welcome. Michael K. Edwards 11:49, 3 September 2006 (UTC)