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Abadias, L. (2016) A Katznelson-Tzafriri Type Theorem for Cesàro Bounded Operators. Studia Mathematica, 234, 59-82.
https://doi.org/10.4064/sm8436-5-2016

has been cited by the following article:

• TITLE: Cesàro Bounded Weighted Backward Shift

  AUTHORS: Hui Gao

  KEYWORDS: Cesàro Boundedness, Absolutely Cesàro Boundedness, Backward Weighted Shift

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.1, January 29, 2021

  ABSTRACT: In this paper, we give a criterion of the absolutely Cesàro bounded weighted backward shift in spirit of the comparison method. Our approach is to construct the proper product of weight functions by the fraction of two monomials of the indexes, then we apply proper scaling to give Cesàro boundedness. In particular, we present a new example of non Cesàro bounded weighted backward shift on .