Geodesic
Spectral properties of discrete weighted shift operators
Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 14-21.

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Discrete weighted shift operators $B$ in the space $l_2(\mathbb{Z})$ of two-way sequences are considered. Properties of $B-\lambda I$ for spectral values of $\lambda$ are described. In particular, conditions for operator $B-\lambda I$ to be one-sided invertible are obtained. 
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A. B. Antonevich; A. A. Akhmatova. Spectral properties of discrete weighted shift operators. Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 14-21. http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a1/

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