From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5453 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: Quantum computation and categories Date: Thu, 31 Dec 2009 23:44:25 -0500 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1262526846 624 80.91.229.12 (3 Jan 2010 13:54:06 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Sun, 3 Jan 2010 13:54:06 +0000 (UTC) To: categories Original-X-From: categories@mta.ca Sun Jan 03 14:53:59 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1NRQu6-0001kO-DG for gsmc-categories@m.gmane.org; Sun, 03 Jan 2010 14:53:58 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1NRQZe-0004if-05 for categories-list@mta.ca; Sun, 03 Jan 2010 09:32:50 -0400 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5453 Archived-At: 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 =E2=89=A4 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/ ]