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The semisimplicity of L 1(K, w) of a weighted commutative hypergroup K

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Abstract

In the present paper, it is shown that, for a locally compact commutative hypergroup K with a Borel measurable weight function w, the Banach algebra L 1(K,w) is semisimple if and only if L 1(K) is semisimple. Indeed, we have improved a well-krown result of Bhatt and Dedania from locally compact groups to the general setting of locally compact hypergroups.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, Isfahan, Iran

    M. Lashkarizadeh Bami

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  1. M. Lashkarizadeh Bami
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Correspondence to M. Lashkarizadeh Bami.

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The author is supported by both The Research Affairs (Research Project No. 850709), and The Center of Excellence for Mathematics of the University of Isfahan

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Lashkarizadeh Bami, M. The semisimplicity of L 1(K, w) of a weighted commutative hypergroup K . Acta. Math. Sin.-English Ser. 24, 607–610 (2008). https://doi.org/10.1007/s10114-007-0979-8

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  • DOI: https://doi.org/10.1007/s10114-007-0979-8

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