Geodesic
Divergence of general operators on sets of measure zero
G. A. Karagulyan1
1 Institute of Mathematics of Armenian National Academy of Sciences Baghramian Ave. 24b 0019 Yerevan, Armenia
Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 113-119 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider sequences of linear operators $U_n$ with a localization property. It is proved that for any set $E$ of measure zero there exists a set $G$ for which $U_n{\mathbb I}_G(x)$ diverges at each point $x\in E$. This result is a generalization of analogous theorems known for the Fourier sum operators with respect to different orthogonal systems.
DOI : 10.4064/cm121-1-10
Keywords: consider sequences linear operators localization property proved set measure zero there exists set which mathbb diverges each point result generalization analogous theorems known fourier sum operators respect different orthogonal systems

G. A. Karagulyan 1

1 Institute of Mathematics of Armenian National Academy of Sciences Baghramian Ave. 24b 0019 Yerevan, Armenia 
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G. A. Karagulyan. Divergence of general operators on sets of measure zero. Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 113-119. doi: 10.4064/cm121-1-10

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