title: Ultrapowers of Banach algebras
metadata.name: dc.contributor.author
metadata.value: Ebadian, Ali
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Jabbari, Ali
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-10-20T16:46:36Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-10-20T16:46:36Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.313
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38310
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: amenability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: arens products
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: derivation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multiplier
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ultrapower
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ultra amenable
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ultra character amenability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Ultrapowers of Banach algebras
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 527-541.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38310/1/527-541.pdf
resources.format: Adobe PDF
resources.size: 345,95 kB