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Article

Structure of Normed Simple Annihilator Algebras

by
Sergey V. Ludkowski
Department of Appl. Mathematics, Moscow State Techn. Univ. MIREA, av. Vernadksy 78, Moscow 119454, Russia
Mathematics 2019, 7(4), 347; https://doi.org/10.3390/math7040347
Submission received: 18 February 2019 / Revised: 29 March 2019 / Accepted: 2 April 2019 / Published: 11 April 2019

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.
Keywords: operator; algebra; norm; ideal; annihilator; infinite dimension; field operator; algebra; norm; ideal; annihilator; infinite dimension; field

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MDPI and ACS Style

Ludkowski, S.V. Structure of Normed Simple Annihilator Algebras. Mathematics 2019, 7, 347. https://doi.org/10.3390/math7040347

AMA Style

Ludkowski SV. Structure of Normed Simple Annihilator Algebras. Mathematics. 2019; 7(4):347. https://doi.org/10.3390/math7040347

Chicago/Turabian Style

Ludkowski, Sergey V. 2019. "Structure of Normed Simple Annihilator Algebras" Mathematics 7, no. 4: 347. https://doi.org/10.3390/math7040347

APA Style

Ludkowski, S. V. (2019). Structure of Normed Simple Annihilator Algebras. Mathematics, 7(4), 347. https://doi.org/10.3390/math7040347

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