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, Volume 43, Issue 1, pp 85–86 | Cite as

P-commutativity of the Banach algebra L1**(G)

  • R. S. Doran
  • Wayne Tiller


Let G be a compact abelian group. It is known that the second conjugate space L1**(G) of the group algebra L1(G) is a noneommutative, nonsemisimple, Banach algebra. It is not known if L1**(G) admits an involution. If it does, we show that it is P-coimnutative, and hence enjoys many of the properties of commutative Banach algebras.


Abelian Group Number Theory Algebraic Geometry Topological Group Banach Algebra 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • R. S. Doran
    • 1
  • Wayne Tiller
    • 2
  1. 1.Department of MathematicsTexas Christian UniversityFort WorthUSA
  2. 2.Structural Dynamics Research Corp.AmeliaUSA

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