Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited

Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V. (2021) Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited. Order, 38. pp. 143-201. ISSN 0167-8094

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Abstract / Description

We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras.

Item Type:	Article
Uncontrolled Keywords:	relations in lattices; radicals; Banach space; Banach algebra; subspace
Subjects:	500 Natural Sciences and Mathematics > 510 Mathematics
Department:	School of Computing and Digital Media
Depositing User:	Edward Kissin
Date Deposited:	01 Sep 2020 11:14
Last Modified:	15 Jan 2022 13:21
URI:	https://repository.londonmet.ac.uk/id/eprint/6024

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