Determining complex spectral theorem

Reference no: EM13127509

Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.

Use Complex Spectral Theorem:

Suppose that V is a complex inner-product space and T is an element of L(v). Then V has an orthonormal basis consisting of eigenvectors of T if and only if T is normal.

Reference no: EM13127509

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