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Structure of Normed Simple Annihilator Algebras

Author

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  • Sergey V. Ludkowski

    (Department of Appl. Mathematics, Moscow State Techn. Univ. MIREA, av. Vernadksy 78, Moscow 119454, Russia)

Abstract

This article is devoted to normed simple annihilator algebras. Their structure is investigated in the paper. Maximal families of orthogonal irreducible idempotents of normed simple annihilator algebras are scrutinized. Division subalgebras of annihilator algebras are studied. Realizations of these algebras by operator algebras in Banach spaces are described. For this purpose, quasi finite dimensional operators are investigated.

Suggested Citation

  • Sergey V. Ludkowski, 2019. "Structure of Normed Simple Annihilator Algebras," Mathematics, MDPI, vol. 7(4), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:347-:d:222040
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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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