On certain matrix algebras related to quasi-Toeplitz matrices

Dario Bini, Beatrice Meini

Let $A_{\alpha }$ be the semi-infinite tridiagonal matrix having subdiagonal and superdiagonal unit entries, $(A_{\alpha }{)}_{11}=\alpha$, where $\alpha \in \mathbb{C}$, and zero elsewhere. A basis $\{P_0,P_1,P…