Normed Dual Algebras

Sergey V. Ludkowski
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Sergey V. Ludkowski: Department of Applied Mathematics, Moscow State Technological University, MIREA, av. Vernadksy 78, Moscow 119454, Russia;

Mathematics, 2019, vol. 7, issue 2, 1-14

Abstract: 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.

Keywords: algebra; ideal; operator; field; norm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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