Characterization of the sets of divergence for sequences of operators with the localization property

© 2011 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation Grigorii A Karagulyan 2011 Sb. Math. 202 9 DOI 10.1070/SM2011v202n01ABEH004136

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1 Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan , Armenia

Dates

  1. Received 16 March 2010
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1064-5616/202/1/9

Abstract

General theorems characterizing the sets of divergence for sequences of operators with the localization property are established and then used to obtain a complete characterization of the sets of divergence for Fourier series and their Cesàro means in classical orthonormal systems.

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