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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Texas Christian University, 76129, Fort Worth, Texas, USA

    R. S. Doran

  2. Structural Dynamics Research Corp., 3871 Pin Oak, 45102, Amelia, Ohio, USA

    Wayne Tiller

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  1. R. S. Doran
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  2. Wayne Tiller
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Doran, R.S., Tiller, W. P-commutativity of the Banach algebra L1**(G). Manuscripta Math 43, 85–86 (1983). https://doi.org/10.1007/BF01169098

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  • DOI: https://doi.org/10.1007/BF01169098

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