Timeline for Is the category of Banach spaces with contractions an algebraic theory?
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| Dec 11, 2009 at 15:36 | comment | added | Leonid Positselski | That's right, he does it "algebraically", i.e., considers finite weighted sums only. It does indeed appear that finite-dimensional Banach spaces are more important to him than infinite-dimensional ones. As to the more specific references, see subsection 0.2 and section 2. Banach spaces are related to what he calls "generalized ring $\mathbb Z_\infty$" and "lattices" or "modules" over it. | |
| Dec 11, 2009 at 14:42 | comment | added | Andrew Stacey | A quick look through the dissertation isn't very enlightening. Can you give a more specific reference (it is 568 pages long!). I searched for "Banach" and it was almost always near the words "finite dimensional". | |
| Dec 11, 2009 at 11:38 | history | answered | Leonid Positselski | CC BY-SA 2.5 |