Riesz Basis Problem

rsingh628

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May 31, 2021
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Hi all, I am having difficulties understanding Riesz basis for non orthogonal bases and I am stuck on the following problem. The definitions are abstract to me and I’m not sure how to go about solving the problem.

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From Wikipedia, it seems that I should be be proving condition #2 (c and C correspond to A and B in the definition above):

1624483831474.png

I would greatly appreciate any help.
 
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