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Estimations of the Operator Resolvent by Higher Order Cesàro Means

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Abstract

Some growth conditions of the resolvent function of a Banach space operator are investigated using higher order Cesàro means. More precisely, Abel and Nevanlinna estimates are obtained under the condition of boundedness of some weighted Cesàro averages. Also, certains results related to the (strong or uniform) convergence of Cesàro means are mentioned.

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  1. Department of Mathematics and Informatics, “Lucian Blaga” University of Sibiu, Dr. Ion Raţiu 5-7, 550012, Sibiu, Romania

    Laurian Suciu

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  1. Laurian Suciu
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Suciu, L. Estimations of the Operator Resolvent by Higher Order Cesàro Means. Results. Math. 69, 457–475 (2016). https://doi.org/10.1007/s00025-016-0533-z

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  • DOI: https://doi.org/10.1007/s00025-016-0533-z

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