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Mathematics 2019, 7(2), 174;

Normed Dual Algebras

Department of Applied Mathematics, Moscow State Technological University, MIREA, av. Vernadksy 78, Moscow 119454, Russia;
Received: 2 November 2018 / Revised: 18 January 2019 / Accepted: 31 January 2019 / Published: 14 February 2019
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This article is devoted to the investigation of dual and annihilator normed algebras. Their structure is studied in the paper. Extensions of algebras and fields are considered and by using them, core radicals and radicals are investigated. Moreover, for this purpose ∗-algebras and finely regular algebras are also studied. Relations with operator theory and realizations of these algebras by operator algebras are outlined. View Full-Text
Keywords: algebra; ideal; operator; field; norm algebra; ideal; operator; field; norm
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Ludkowski, S.V. Normed Dual Algebras. Mathematics 2019, 7, 174.

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