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Order isomorphisms in C⁎-algebras.

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Title: Order isomorphisms in C⁎-algebras.
Authors: El Khatiri, Youssef1 (AUTHOR) elkhatiriyoussef@hotmail.com
Source: Linear Algebra & its Applications. Aug2026, Vol. 743, p181-210. 30p.
Subjects: C*-algebras, Selfadjoint operators, Operator theory, Operator algebras, Jordan algebras, Automorphisms, Von Neumann algebras
Abstract: We determine an explicit form for order isomorphisms between the self-adjoint parts of C ⁎ -algebras. Furthermore, we provide a representation for such isomorphisms between general operator intervals in A W ⁎ -algebras in terms of Jordan ⁎-isomorphisms and closed operators in the regular rings of A W ⁎ -algebras. This work generalizes previous results on von Neumann algebras. [ABSTRACT FROM AUTHOR]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. 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
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Header DbId: egs
DbLabel: Engineering Source
An: 193660186
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Order isomorphisms in C⁎-algebras.
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  Data: <searchLink fieldCode="AR" term="%22El+Khatiri%2C+Youssef%22">El Khatiri, Youssef</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> elkhatiriyoussef@hotmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Linear+Algebra+%26+its+Applications%22">Linear Algebra & its Applications</searchLink>. Aug2026, Vol. 743, p181-210. 30p.
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  Data: <searchLink fieldCode="DE" term="%22C*-algebras%22">C*-algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Selfadjoint+operators%22">Selfadjoint operators</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+algebras%22">Operator algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Jordan+algebras%22">Jordan algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphisms%22">Automorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Von+Neumann+algebras%22">Von Neumann algebras</searchLink>
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  Data: We determine an explicit form for order isomorphisms between the self-adjoint parts of C ⁎ -algebras. Furthermore, we provide a representation for such isomorphisms between general operator intervals in A W ⁎ -algebras in terms of Jordan ⁎-isomorphisms and closed operators in the regular rings of A W ⁎ -algebras. This work generalizes previous results on von Neumann algebras. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. 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.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.laa.2026.04.023
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 30
        StartPage: 181
    Subjects:
      – SubjectFull: C*-algebras
        Type: general
      – SubjectFull: Selfadjoint operators
        Type: general
      – SubjectFull: Operator theory
        Type: general
      – SubjectFull: Operator algebras
        Type: general
      – SubjectFull: Jordan algebras
        Type: general
      – SubjectFull: Automorphisms
        Type: general
      – SubjectFull: Von Neumann algebras
        Type: general
    Titles:
      – TitleFull: Order isomorphisms in C⁎-algebras.
        Type: main
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            NameFull: El Khatiri, Youssef
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          Dates:
            – D: 15
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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              Value: 743
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            – TitleFull: Linear Algebra & its Applications
              Type: main
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