Find all eigenvalues and eigenvectors of the backward shift operator T E L(F) defined by T(21,...

 

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Find all eigenvalues and eigenvectors of the backward shift operator T E L(F") defined by T(21, z2, 23,...) = (22, 23,...). Find all eigenvalues and eigenvectors of the backward shift operator T E L(F") defined by T(21, z2, 23,...) = (22, 23,...).