On Spectral Properties of Weighted Shift Operators Generated by Mappings with Saddle Points

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作者
Anatolij Antonevich
Justyna Makowska
机构
[1] Belorussian State University,
[2] University of Bialystok,undefined
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关键词
Primary 47B38; Secondary 47A56; Weighted shift; essential spectrum; saddle point;
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摘要
A model class of weighted shift operators B generated by a mappings having saddle points is considered. A description of properties of B − λI for λ belonging to the spectrum Σ(B) is given. In particular, a necessary and sufficient condition for B − λI to be one-sided invertible is obtained.
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页码:215 / 240
页数:25
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