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Topological radicals of nest algebras

Volume 237 / 2017

G. Andreolas, M. Anoussis Studia Mathematica 237 (2017), 177-184 MSC: Primary 47L35; Secondary 46H10. DOI: 10.4064/sm8612-8-2016 Published online: 9 December 2016

Abstract

Let be a nest on a Hilbert space H and \operatorname {Alg}\mathcal {N} the corresponding nest algebra. We determine the hypocompact radical of \operatorname {Alg}\mathcal {N}. Other topological radicals are also characterized.

Authors

  • G. AndreolasDepartment of Mathematics
    University of the Aegean
    832 00 Karlovassi, Samos, Greece
    e-mail
  • M. AnoussisDepartment of Mathematics
    University of the Aegean
    832 00 Karlovassi, Samos, Greece
    e-mail

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