Timeline for Projections onto $n$-codimensional subspaces of a Banach space: norms.
Current License: CC BY-SA 3.0
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| Oct 15, 2012 at 15:41 | comment | added | Bill Johnson | In a beginning course I often raise the problem of getting some estimate for the projection onto an $n$ dimensional (or $n$ codimensional) subspace, and reasonable students come up with something like this. Occasionally a really good one figures out how to get an estimate that is polynomial in $n$. Those who work on the problem appreciate the depth of the (relatively simple) Kadec-Snobar theorem I mentioned in my answer when later in the course I prove it. | |
| Oct 15, 2012 at 15:33 | history | answered | Peter Michor | CC BY-SA 3.0 |