1 Jan
2010
1 Jan
'10
4:44 a.m.
Peter Selinger offered the thought that, considering
... the category of finite dimensional complex vector spaces vs. the category of finite dimensional Hilbert spaces. They are equivalent ...
Hmmm ... you mean just *any* linear transformation is allowed between two Hilbert spaces? Isn't the category of f.d. Hilbert spaces a subcategory of the category of Banach spaces (with linear maps of bound ≤ 1)? If so, I'm not so sure my Hilbert spaces are the same as yours :-) . Cheers, and Happy New Year, -- Fred [For admin and other information see: http://www.mta.ca/~cat-dist/ ]