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- Nov 28th 2012, 11:41 PMsoso123Question in the analysis
- Nov 29th 2012, 04:27 AMgirdavRe: Question in the analysis
Consider the linear map $\displaystyle L_k\colon x\mapsto x_{2k}$. Then $\displaystyle Y=\bigcap_{k\geqslant 1}\ker L_k$. To conclude, show that $\displaystyle L_k$ is linear and bounded.

- Nov 29th 2012, 05:38 AMsoso123Re: Question in the analysis
Please explain more

Thanks - Nov 29th 2012, 05:39 AMgirdavRe: Question in the analysis
What don't you understand exactly?

- Nov 29th 2012, 06:10 AMsoso123Re: Question in the analysis
I want to prove that a group be closed

- Nov 29th 2012, 06:24 AMgirdavRe: Question in the analysis
What do you mean? Where do you see a group?

- Nov 29th 2012, 07:33 AMHallsofIvyRe: Question in the analysis
Are you sure this course work is from a class you are taking? You seem to be saying that you do not know what

**any**of this**means**. For example, do you know what "$\displaystyle l^1$" means? How is the topology defined on that set ("group" is, mathematically, the wrong word)? How is "closed" defined in that topology?