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September 30th, 2010, 11:10 AM  #1 
Newbie Joined: Sep 2010 Posts: 1 Thanks: 0  About the continuity of coordinate projection
I have attempted to solve this problem; however I couldn't do it. Please, could someone give me a solution or a partial solution? Thank you. Consider the vector space of all sequence of complex numbers. Let . be a norm in such space. Why at most a finite number of coordinate projections can be continuous (or b.ounded) in the norm .? 
October 24th, 2010, 03:22 PM  #2 
Newbie Joined: Oct 2010 Posts: 17 Thanks: 0  Re: About the continuity of coordinate projection
Could you give an example of a norm on this space?


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continuity, coordinate, projection 
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