Geodesic
Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras
Peng Cao 1   ; Yurii V. Turovskii 2
1 School of Mathematics and Statistics Beijing Institute of Technology Beijing, P.R. China
2 Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan 9 Vahabzade Street Baku AZ1141, Azerbaijan
Studia Mathematica, Tome 235 (2016) no. 2, pp. 171-208 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A Jordan or associative algebra is called scattered if it consists of elements with countable spectrum (so called scattered elements). It is proved that for sub-Banach, Jordan or associative, algebras there exists the largest scattered ideal and it is closed. Accordingly, this determines the scattered topological radical. The characterization of the scattered radical is given, and the perturbation class of scattered elements is considered.
DOI : 10.4064/sm8505-7-2016
Keywords: jordan associative algebra called scattered consists elements countable spectrum called scattered elements proved sub banach jordan associative algebras there exists largest scattered ideal closed accordingly determines scattered topological radical characterization scattered radical given perturbation class scattered elements considered

Peng Cao  1   ; Yurii V. Turovskii  2

1 School of Mathematics and Statistics Beijing Institute of Technology Beijing, P.R. China
2 Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan 9 Vahabzade Street Baku AZ1141, Azerbaijan 
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     title = {Topological radicals, {VI.} {Scattered} elements in {Banach} {Jordan} and associative algebras},
     journal = {Studia Mathematica},
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Peng Cao; Yurii V. Turovskii. Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras. Studia Mathematica, Tome 235 (2016) no. 2, pp. 171-208. doi: 10.4064/sm8505-7-2016

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