View in EDS PDF Full Text

On the Frobenius Norm of Commutators Involving Exponential Matrices.

Saved in:
Bibliographic Details
Title: On the Frobenius Norm of Commutators Involving Exponential Matrices.
Authors: OKSUZ, Ahmet1 ahmet.oksuz42@gmail.com, SOLAK, Suleyman2
Source: Gazi University Journal of Science. 2026, Vol. 39 Issue 1, p177-189. 13p.
Subjects: Commutators (Operator theory), Matrix exponential, Exponential functions, Mathematical bounds, Matrices (Mathematics), Matrix norms
Abstract: In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix Jn, where Jn is an n × n matrix with all entries equal to 1. Then, using this new generalization, we derive commutator identities involving iterated exponential matrices. Finally, we obtain upper bounds for the Frobenius norms of these commutators. [ABSTRACT FROM AUTHOR]
Copyright of Gazi University Journal of Science is the property of Gazi University Journal of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 194600946
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: On the Frobenius Norm of Commutators Involving Exponential Matrices.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22OKSUZ%2C+Ahmet%22">OKSUZ, Ahmet</searchLink><relatesTo>1</relatesTo><i> ahmet.oksuz42@gmail.com</i><br /><searchLink fieldCode="AR" term="%22SOLAK%2C+Suleyman%22">SOLAK, Suleyman</searchLink><relatesTo>2</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Gazi+University+Journal+of+Science%22">Gazi University Journal of Science</searchLink>. 2026, Vol. 39 Issue 1, p177-189. 13p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Commutators+%28Operator+theory%29%22">Commutators (Operator theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+exponential%22">Matrix exponential</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+functions%22">Exponential functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+bounds%22">Mathematical bounds</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+norms%22">Matrix norms</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, we first establish a different generalization of the equality proposed by Farhadian for iterated exponentials with the matrix Jn, where Jn is an n × n matrix with all entries equal to 1. Then, using this new generalization, we derive commutator identities involving iterated exponential matrices. Finally, we obtain upper bounds for the Frobenius norms of these commutators. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Gazi University Journal of Science is the property of Gazi University Journal of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194600946
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.35378/gujs.1712615
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 177
    Subjects:
      – SubjectFull: Commutators (Operator theory)
        Type: general
      – SubjectFull: Matrix exponential
        Type: general
      – SubjectFull: Exponential functions
        Type: general
      – SubjectFull: Mathematical bounds
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Matrix norms
        Type: general
    Titles:
      – TitleFull: On the Frobenius Norm of Commutators Involving Exponential Matrices.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: OKSUZ, Ahmet
      – PersonEntity:
          Name:
            NameFull: SOLAK, Suleyman
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: 2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 13039709
          Numbering:
            – Type: volume
              Value: 39
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: Gazi University Journal of Science
              Type: main
ResultId 1