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A Survey on the Behavior of the Resolvent of Weighted Shift Operator

Али А. Шукур

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Abstract

In this survey, we review some results on the behavior of the resolvent of weighted shift operator. In particular, the relation between the coefficients of the mentioned operators, the behavior of the Cesaro averages and the behavior of the resolvent were considered.

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What this paper is about

In this survey, we review some results on the behavior of the resolvent of weighted shift operator. In particular, the relation between the coefficients of the mentioned operators, the behavior of the Cesaro averages and the behavior of the resolvent were considered.

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Available abstract

In this survey, we review some results on the behavior of the resolvent of weighted shift operator. In particular, the relation between the coefficients of the mentioned operators, the behavior of the Cesaro averages and the behavior of the resolvent were considered.

Key concepts: Resolvent, Resolvent formalism, Operator (biology), Mathematics, Pure mathematics, Mathematical analysis, Finite-rank operator, Banach space

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