Definition
We say Matrix is unitarily upper triangular if there exists a Unitary Matrix such that
A Schur’s Decomposition tells us when is a Complex Inner Product Space, that there exists an orthonormal basis such that is Upper Triangular.
We say Matrix A is unitarily upper triangular if there exists a Unitary Matrix P such that A=P−1BP
A Schur’s Decomposition tells us when V is a Complex Inner Product Space, that there exists an orthonormal basis β such that T is Upper Triangular.