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currently I am reading Ole Christensen's An Introduction to Frames and Riesz Bases.

what is canonical orthonormal basis of a finite dimensional vector space and how to calculate .

thanks in advance.

  • For a general finite dimensional space there is no such thing. For $\Bbb{R}^n$ what is meant is the basis $(e_i)_i$, where $e_1 =(1,0,\dots,0), e_2 =(0,1,0,\dots,0)$, etc. – PhoemueX Feb 07 '20 at 14:03
  • What is the definition in general case. Thanks. – Shankhadeep Mondal Feb 10 '20 at 04:15
  • As I said, for a general finite dimensional vector space, it does not make sense to speak of a canonical orthonormal basis. Where in the book is this notion used? – PhoemueX Feb 10 '20 at 20:15

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