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September 30th, 2010, 10:10 AM   #1
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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 ||.||?
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October 24th, 2010, 02:22 PM   #2
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Re: About the continuity of coordinate projection

Could you give an example of a norm on this space?
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