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Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach

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Title: Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
Description: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB•-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C•-algebras and non-commutative JB•-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
Authors: Miguel Cabrera García, Ángel Rodríguez Palacios
Resource Type: eBook.
Subjects: Algebra, Banach algebras
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1761544
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PubType: eBook
PubTypeId: ebook
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  Data: Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
– Name: Abstract
  Label: Description
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  Data: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB•-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C•-algebras and non-commutative JB•-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
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  Data: <searchLink fieldCode="AR" term="%22Miguel+Cabrera+García%22">Miguel Cabrera García</searchLink><br /><searchLink fieldCode="AR" term="%22Ángel+Rodríguez+Palacios%22">Ángel Rodríguez Palacios</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+algebras%22">Banach algebras</searchLink>
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    Classifications:
      – Code: 512.554
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Banach algebras
        Type: general
    Titles:
      – TitleFull: Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Miguel Cabrera García
      – PersonEntity:
          Name:
            NameFull: Ángel Rodríguez Palacios
      – PersonEntity:
          Name:
            NameFull: Miguel Cabrera García
      – PersonEntity:
          Name:
            NameFull: Ángel Rodríguez Palacios
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 10
              M: 04
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9781107043114
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              Value: 9781108631433
          Numbering:
            – Type: volume
              Value: 00167
          Titles:
            – TitleFull: Non-Associative Normed Algebras: Volume 2, Representation Theory and the Zel'manov Approach
              Type: main
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