Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras

Peng Cao; Yurii V. Turovskii

doi:10.4064/sm8505-7-2016

Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras

Peng Cao, Yurii V. Turovskii

School of Mathematics and Statistics

Azerbaijan National Academy of Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	171-208
Number of pages	38
Journal	Studia Mathematica
Volume	235
Issue number	2
DOIs	https://doi.org/10.4064/sm8505-7-2016
Publication status	Published - 2016

Keywords

Jacobson radical
Jordan algebra
Perturbation class
Scattered element
Scattered radical
Socle
Topological radical

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Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras

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Keywords

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