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I have a question regarding the square summable sequences:

I should find an example of a closed set from the square summable sequences and show that the closed set does not have an element with a min norm!

The professor mentioned an example:

(1+1/1 0 0 0.....)

(0 1+1/2 0 0.....)

......

(0...0 1+1/n 0........)

this set does not have an element with min norm, but why is it a closed set in l2 ?!

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# Square summable sequences

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