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.
Bibliography: 28 titles.
Keywords:localization property of operators, sets of divergence, $G_{\delta\sigma}$-sets.
Fulltext:
PDF file (621 kB)
