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Mohamed Barraa, Mohamed Boumazgour, A Note on the Spectrum of an Upper Triangular Operator Matrix, Proceedings of the American Mathematical Society, Vol. 131, No. 10 (Oct., 2003), pp. 3083-3088 ...
Abstract. The spectra of the 2 × 2 upper triangular operator matrix M C =( A C 0 B ) acting on a Hilbert space 𝐻₁ ⨁ 𝐻₂ are investigated. We obtain a necessary and sufficient condition of 𝜎(𝑀𝐶) = ...