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Relations and Radicals in Abstract Lattices and in Lattices of Subspaces of Banach Spaces and of Ideals of Banach Algebras. Amitsur’s Theory Revisited

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Abstract

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.

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Authors and Affiliations

  1. STORM, London Metropolitan University, 166-220 Holloway Road, London, N7 8DB, Great Britain

    Edward Kissin

  2. Department of Mathematics, Vologda State University, Vologda, Russia

    Victor Shulman & Yuri Turovskii

Authors
  1. Edward Kissin
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  2. Victor Shulman
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  3. Yuri Turovskii
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Correspondence to Edward Kissin.

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Kissin, E., Shulman, V. & Turovskii, Y. 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, 143–201 (2021). https://doi.org/10.1007/s11083-020-09533-4

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