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http://hdl.handle.net/11701/38310
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Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Ebadian, Ali | - |
dc.contributor.author | Jabbari, Ali | - |
dc.date.accessioned | 2022-10-20T16:46:36Z | - |
dc.date.available | 2022-10-20T16:46:36Z | - |
dc.date.issued | 2022-09 | - |
dc.identifier.citation | Ebadian A., Jabbari A. Ultrapowers of Banach algebras. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 3, pp. 527–541. https://doi.org/10.21638/spbu01.2022.313 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2022.313 | - |
dc.identifier.uri | http://hdl.handle.net/11701/38310 | - |
dc.description.abstract | In this paper, we consider ultrapowers of Banach algebras as Banach algebras and the product (J,U) on the second dual of Banach algebras. For a Banach algebra A, we show that if there is a continuous derivation from A into itself, then there is a continuous derivation from (A ∗∗ , (J,U)) into it. Moreover, we show that if there is a continuous derivation from A into X∗∗, where X is a Banach A-bimodule, then there is a continuous derivation from A into ultrapower of X i. e., (X)U. Ultra (character) amenability of Banach algebras is investigated and it will be shown that if every continuous derivation from A into (X)U is inner, then A is ultra amenable. Some results related to left (resp. right) multipliers on (A ∗∗ , (J,U)) are also given. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 3 | - |
dc.subject | amenability | en_GB |
dc.subject | arens products | en_GB |
dc.subject | derivation | en_GB |
dc.subject | multiplier | en_GB |
dc.subject | ultrapower | en_GB |
dc.subject | ultra amenable | en_GB |
dc.subject | ultra character amenability | en_GB |
dc.title | Ultrapowers of Banach algebras | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
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Файл | Описание | Размер | Формат | |
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527-541.pdf | 345,95 kB | Adobe PDF | Просмотреть/Открыть |
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