Structure of Normed Simple Annihilator Algebras
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 a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/4/347 |
| _version_ | 1818356923306606592 |
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| author | Sergey V. Ludkowski |
| author_facet | Sergey V. Ludkowski |
| author_sort | Sergey V. Ludkowski |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T20:04:55Z |
| format | Article |
| id | doaj.art-2d83185d0b6947e699288d2663ba4f9e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-13T20:04:55Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2d83185d0b6947e699288d2663ba4f9e2022-12-21T23:33:02ZengMDPI AGMathematics2227-73902019-04-017434710.3390/math7040347math7040347Structure of Normed Simple Annihilator AlgebrasSergey V. Ludkowski0Department of Appl. Mathematics, Moscow State Techn. Univ. MIREA, av. Vernadksy 78, Moscow 119454, RussiaThis 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.https://www.mdpi.com/2227-7390/7/4/347operatoralgebranormidealannihilatorinfinite dimensionfield |
| spellingShingle | Sergey V. Ludkowski Structure of Normed Simple Annihilator Algebras Mathematics operator algebra norm ideal annihilator infinite dimension field |
| title | Structure of Normed Simple Annihilator Algebras |
| title_full | Structure of Normed Simple Annihilator Algebras |
| title_fullStr | Structure of Normed Simple Annihilator Algebras |
| title_full_unstemmed | Structure of Normed Simple Annihilator Algebras |
| title_short | Structure of Normed Simple Annihilator Algebras |
| title_sort | structure of normed simple annihilator algebras |
| topic | operator algebra norm ideal annihilator infinite dimension field |
| url | https://www.mdpi.com/2227-7390/7/4/347 |
| work_keys_str_mv | AT sergeyvludkowski structureofnormedsimpleannihilatoralgebras |