Lebesgue-Fourier algebra of a hypergroup

Details Lebesgue-Fourier algebra of a hypergroup Lebesgue-Fourier algebra of a hypergroup

2011-11-25

arxiv.org/abs/1111.5925v1

Mathematics

Functional Analysis

Scientific paper

Let ${\mathcal L} A(H)$ be the Lebesgue-Fourier space of a hypergroup $H$ considered as a Banach space on $H$. In addition ${\mathcal L}A(H)$ is a Banach algebra with the multiplication inherited from $L^1(H)$. Moreover If $H$ is a regular Fourier hypergroup, ${\mathcal L}A(H)$ is a Banach algebra with pointwise multiplication. We study the amenability and character amenability of these two Banach algebras.

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