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We call CQT matrix a quasi-Toeplitz matrix $A$, associated with a continuous symbol $a(z)\\in\\mathcal W_1$, of the form $A=T(a)+E$, where $T(a)=(t_{i,j})_{i,j\\in\\mathbb{Z}^+}$ is the semi-infinite Toeplitz matrix such that $t_{i,j}=a_{j-i}$, for $i,j\\in\\mathbb Z^+$, and $E=(e_{i,j})_{i,j\\in\\mathbb{Z}^+}$ is a semi-infinite matrix such that $\\sum_{i,j=1}^{+\\infty}|e_{i,j}|$ is finite. 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Bini, Stefano Massei","submitted_at":"2016-11-19T10:46:18Z","abstract_excerpt":"Denote by $\\mathcal{W}_1$ the set of complex valued functions of the form $a(z)=\\sum_{i=-\\infty}^{+\\infty}a_iz^i$ which are continuous on the unit circle, and such that $\\sum_{i=-\\infty}^{+\\infty}|ia_i|<\\infty$. We call CQT matrix a quasi-Toeplitz matrix $A$, associated with a continuous symbol $a(z)\\in\\mathcal W_1$, of the form $A=T(a)+E$, where $T(a)=(t_{i,j})_{i,j\\in\\mathbb{Z}^+}$ is the semi-infinite Toeplitz matrix such that $t_{i,j}=a_{j-i}$, for $i,j\\in\\mathbb Z^+$, and $E=(e_{i,j})_{i,j\\in\\mathbb{Z}^+}$ is a semi-infinite matrix such that $\\sum_{i,j=1}^{+\\infty}|e_{i,j}|$ is finite. 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