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Normed Dual Algebras

Author

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  • Sergey V. Ludkowski

    (Department of Applied Mathematics, Moscow State Technological University, MIREA, av. Vernadksy 78, Moscow 119454, Russia;)

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.

Suggested Citation

  • Sergey V. Ludkowski, 2019. "Normed Dual Algebras," Mathematics, MDPI, vol. 7(2), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:174-:d:205978
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    References listed on IDEAS

    as
    1. S. Ludkovsky & B. Diarra, 2002. "Spectral integration and spectral theory for non-Archimedean Banach spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 31, pages 1-22, January.
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    1. Sergey V. Ludkowski, 2019. "Structure of Normed Simple Annihilator Algebras," Mathematics, MDPI, vol. 7(4), pages 1-10, April.

    More about this item

    Keywords

    algebra; ideal; operator; field; norm;
    All these keywords.

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