Conversation started Nov 16, 2011 at 4:15.
Nov 16, 2011 04:15
how I hate it when this happens... I wasn't notified by the system that an answer was posted while I was typing.
I hate that, too. It happens quite a bit.
It happened to me quite a few times that I posted an answer almost at the same time as another user, although the question already open for some time.
It takes a while for the system to push a banner notification that an answer was entered.
But it was usually for question not older than half an hour I would say.
I guess we were both looking at recently active questions with functional-analysis tag.
Well, I could have spared myself about 20 minutes... However, it's a memorable moment. I post an atypically explicit answer while someone else posts the abstract version :)
Nov 16, 2011 04:19
Credits go to the authors of the book... I was thinking about the problem for some time and did not come up with an example.
Well, for me it was sort of the thing to try but it took me a while to get the sums right...
Although I was trying $c_00$ with the $\ell_2$-norm... but well it is probably the most natural non-complete space to try.
Well, what else is there, anyway?
It might be nice to work out the same example with trigonometric polynomials in L^2[0,1] but I guess I'll leave that to the OP.
BTW is $\ell_0^2$ some kind of standard notation for this space?
I wanted to write $c_{00}$ first, but I guess this usually denotes this space with sup-norm.
I don't know. It looked like a somewhat reasonable choice, but definitely not a good one.
But if I see c_{00} I'd want to put the sup-norm on it.
I think d is quite standard for that space c_{00}, too.
 
Conversation ended Nov 16, 2011 at 4:26.