- #1
smiley2
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Hellou!
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 ?!
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 ?!
