Remarks on weak amenability of hypergroups
Functional Analysis
2018-08-14 v1
Abstract
We study the existence of multiplier (completely) bounded approximate identities for the Fourier algebras of some classes of hypergroups. In particular we show that, a large class of commutative hypergroups are weakly amenable with the Cowling-Haagerup constant 1. As a corollary, we answer an open question of Eymard on Jacobi hypergroups. We also characterize the existence of bounded approximate identities for the hypergroup Fourier algebras of ultraspherical hypergroups.
Cite
@article{arxiv.1808.03805,
title = {Remarks on weak amenability of hypergroups},
author = {Mahmood Alaghmandan},
journal= {arXiv preprint arXiv:1808.03805},
year = {2018}
}
Comments
10 pages