Comment on "On the stability of quadratic double centralizers on Banach algebras" [M. Eshaghi Gordji, A. Bodaghi, J. Comput. Anal. Appl. 13 (2011), 724-729]
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Lee, Jung Rye | - |
dc.contributor.author | Shin, Dong Yun | - |
dc.contributor.author | Gordji, Madjid Eshaghi | - |
dc.date.accessioned | 2022-07-16T12:55:20Z | - |
dc.date.available | 2022-07-16T12:55:20Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2012-11 | - |
dc.identifier.issn | 1521-1398 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164282 | - |
dc.description.abstract | Eshaghi Gordji and Bodaghi [2] proved the Hyers-Ulam stability of quadratic double centralizers on Banach algebras for the system of the functional equations f (kx + y) + f (kx - y) = 2k(2) f (x) + 2f (y) & f (xy) = f (x)y for a fixed integer k greater than 1. One can easily show that all the quadratic double centralizers (L, R) in the results are (0, 0). The results are trivial. In this paper, we correct the results. Using the direct method, we prove the Hyers-Ulam stability of quadratic double centralizers on Banach algebras for the system of the functional equations f (kx + y) + f (kx - y) = 2k(2) f (x) + 2f (y) & f (xy) = f (x)y(2) for a fixed integer k greater than 1. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | EUDOXUS PRESS, LLC | - |
dc.title | Comment on "On the stability of quadratic double centralizers on Banach algebras" [M. Eshaghi Gordji, A. Bodaghi, J. Comput. Anal. Appl. 13 (2011), 724-729] | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.scopusid | 2-s2.0-84863031007 | - |
dc.identifier.wosid | 000300530100009 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.14, no.7, pp.1299 - 1302 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 14 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 1299 | - |
dc.citation.endPage | 1302 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Theory & Methods | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | Quadratic functional equation | - |
dc.subject.keywordAuthor | Quadratic double centralizer | - |
dc.identifier.url | http://www.eudoxuspress.com/244/JOCAAA-VOL-14-2012.pdf | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.