Geodesic
Discreteness and estimates of spectrum of a first order difference operator
Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 89-94.

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We investigated a minimal closed in the space $l_2$ first order nonsymmetric difference operator $L$. The matrix of zero order coefficients of $L$ may be an unbounded operator. The study of $L$ is motivated by applications to stochastic processes and stochastic differential equations. We obtained compactness conditions and exact with respect to the order two-sided estimates for $s$-numbers of the resolvent of $L$. Note that these estimates for $s$-numbers do not depend on the oscillations of the coefficients of $L$, in contrast to the case of a differential operator. 
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K. N. Ospanov. Discreteness and estimates of spectrum of a first order difference operator. Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 89-94. http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a9/

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