Abstract
We show that ifT(F) is a selfadjoint block Toeplitz operator generated by a trigonometric matrix polynomialF, then the spectrum ofT(F) as well as the limiting set Λ(F) of the eigenvalues of the truncationsT n (F) is the union of a finite collection of segments (the spectral range ofF) and at most a finite set of points for which we give an upper bound.
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Zizler, P., Taylor, K.F. & Arimoto, S. The courant-fischer theorem and the spectrum of selfadjoint block band Toeplitz operators. Integr equ oper theory 28, 245–250 (1997). https://doi.org/10.1007/BF01191821
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DOI: https://doi.org/10.1007/BF01191821