Question: Fix an orthonormal basis v1, . . . , vn of V . Where does the map V V defined by the Reisz representation theorem

Fix an orthonormal basis v1, . . . , vn of V . Where does the map V V defined by the Reisz representation theorem send these vectors? Prove that, in particular, it sends them to a basis of V . What is the common name for this basis

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